Let us set some global options for all code chunks in this document.

knitr::opts_chunk$set(
  message = FALSE,    # Disable messages printed by R code chunks
  warning = FALSE,    # Disable warnings printed by R code chunks
  echo = TRUE,        # Show R code within code chunks in output
  include = TRUE,     # Include both R code and its results in output
  eval = TRUE,       # Evaluate R code chunks
  cache = FALSE,       # Enable caching of R code chunks for faster rendering
  fig.align = "center",
  out.width = "100%",
  retina = 2,
  error = TRUE,
  collapse = TRUE
)
rm(list = ls())
set.seed(1982)

1 Preprocessing

Let us now load some required libraries.

# Load required libraries

# inla.upgrade(testing = TRUE)
# remotes::install_github("inlabru-org/inlabru", ref = "devel")
# remotes::install_github("davidbolin/rspde", ref = "devel")
# remotes::install_github("davidbolin/metricgraph", ref = "devel")
# remotes::install_github("davidbolin/ngme2", ref = "devel")

library(INLA)
#inla.setOption(num.threads = 7)
library(inlabru)
library(rSPDE)
library(MetricGraph)
library(ngme2)

library(plotly)
library(dplyr)

library(sf)

library(here)

Function standarize() below is later used to standardize the covariate SpeedLimit.

standardize <- function(x) {return((x - mean(x)) / sd(x))}

To keep track of the changes, we provide summaries of every new created object. Those summaries can be accessed by pressing the Show buttons below


We load the graph object sf_graph (which only contains weights) and the data (already graph-processed).

load(here("Graph_objects/graph_construction_19MAY24_FRC0134.RData"))
load(here("Data_files/data_day7142128_hour13_with_no_consecutive_zeros_19MAY24_FRC0134_graph_processed.RData"))
data_on_graph = data_on_graph %>% 
  dplyr::select(-datetime)

We check the units of the graph.

sf_graph$get_edge_lengths() %>% head() %>% capture.output() %>% grep("^Units:", ., value = TRUE)
## [1] "Units: [km]"
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: The graph has no data!
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0
summary(data_on_graph)
##        ID           speed              day       .distance_to_graph
##  Min.   :5701   Min.   :  0.000   Min.   :1.00   Min.   :0.000000  
##  1st Qu.:6592   1st Qu.:  1.609   1st Qu.:2.00   1st Qu.:0.001832  
##  Median :6712   Median : 17.703   Median :3.00   Median :0.004032  
##  Mean   :7378   Mean   : 20.107   Mean   :2.55   Mean   :0.004937  
##  3rd Qu.:8739   3rd Qu.: 30.577   3rd Qu.:4.00   3rd Qu.:0.006952  
##  Max.   :8969   Max.   :114.263   Max.   :4.00   Max.   :0.019993  
##   .edge_number   .distance_on_edge    .group             .coord_x     
##  Min.   :    1   Min.   :0.0000    Length:75899       Min.   :-122.5  
##  1st Qu.: 2347   1st Qu.:0.2586    Class :character   1st Qu.:-122.4  
##  Median : 4733   Median :0.5133    Mode  :character   Median :-122.4  
##  Mean   : 4968   Mean   :0.5067                       Mean   :-122.4  
##  3rd Qu.: 7639   3rd Qu.:0.7609                       3rd Qu.:-122.4  
##  Max.   :11104   Max.   :1.0000                       Max.   :-122.4  
##     .coord_y    
##  Min.   :37.70  
##  1st Qu.:37.74  
##  Median :37.77  
##  Mean   :37.76  
##  3rd Qu.:37.78  
##  Max.   :37.81

The following commands remove zero speed observations that are 1m away from the graph, and after that, they remove any speed observations that are 3m away from the graph.

to_remove = data_on_graph %>%
  filter(speed == 0, .distance_to_graph > 0.001) 

data_on_graph = setdiff(data_on_graph, to_remove) %>% 
  filter(.distance_to_graph <= 0.003)
summary(to_remove)
##        ID           speed        day        .distance_to_graph  .edge_number  
##  Min.   :5701   Min.   :0   Min.   :1.000   Min.   :0.001000   Min.   :    1  
##  1st Qu.:6588   1st Qu.:0   1st Qu.:2.000   1st Qu.:0.003133   1st Qu.: 2390  
##  Median :6702   Median :0   Median :3.000   Median :0.005536   Median : 4646  
##  Mean   :7312   Mean   :0   Mean   :2.556   Mean   :0.006552   Mean   : 4912  
##  3rd Qu.:8713   3rd Qu.:0   3rd Qu.:4.000   3rd Qu.:0.008880   3rd Qu.: 7550  
##  Max.   :8969   Max.   :0   Max.   :4.000   Max.   :0.019988   Max.   :11096  
##  .distance_on_edge    .group             .coord_x         .coord_y    
##  Min.   :0.0000    Length:15402       Min.   :-122.5   Min.   :37.70  
##  1st Qu.:0.2888    Class :character   1st Qu.:-122.4   1st Qu.:37.74  
##  Median :0.5322    Mode  :character   Median :-122.4   Median :37.77  
##  Mean   :0.5156                       Mean   :-122.4   Mean   :37.76  
##  3rd Qu.:0.7568                       3rd Qu.:-122.4   3rd Qu.:37.78  
##  Max.   :1.0000                       Max.   :-122.4   Max.   :37.81
summary(data_on_graph)
##        ID           speed             day        .distance_to_graph 
##  Min.   :5701   Min.   :  0.00   Min.   :1.000   Min.   :0.0000000  
##  1st Qu.:6589   1st Qu.: 12.87   1st Qu.:2.000   1st Qu.:0.0005897  
##  Median :6728   Median : 24.14   Median :3.000   Median :0.0012698  
##  Mean   :7485   Mean   : 25.98   Mean   :2.542   Mean   :0.0013554  
##  3rd Qu.:8769   3rd Qu.: 35.41   3rd Qu.:4.000   3rd Qu.:0.0020959  
##  Max.   :8969   Max.   :114.26   Max.   :4.000   Max.   :0.0029999  
##   .edge_number   .distance_on_edge    .group             .coord_x     
##  Min.   :    1   Min.   :0.0000    Length:25843       Min.   :-122.5  
##  1st Qu.: 2078   1st Qu.:0.2631    Class :character   1st Qu.:-122.5  
##  Median : 4558   Median :0.5218    Mode  :character   Median :-122.4  
##  Mean   : 4839   Mean   :0.5137                       Mean   :-122.4  
##  3rd Qu.: 7548   3rd Qu.:0.7700                       3rd Qu.:-122.4  
##  Max.   :11104   Max.   :0.9998                       Max.   :-122.4  
##     .coord_y    
##  Min.   :37.70  
##  1st Qu.:37.74  
##  Median :37.76  
##  Mean   :37.76  
##  3rd Qu.:37.78  
##  Max.   :37.81

We add data to the graph.

sf_graph$add_observations(data = data_on_graph, 
                          group = "day", 
                          normalized = TRUE, 
                          clear_obs = TRUE)
sf_graph$get_data()
## # A tibble: 25,842 × 9
##       ID speed   day .distance_to_graph .coord_x .coord_y .edge_number
##    <int> <dbl> <dbl>              <dbl>    <dbl>    <dbl>        <dbl>
##  1  8969  99.8     1           0.000426    -122.     37.7            2
##  2  6588  91.7     1           0.00206     -122.     37.7            2
##  3  8848  99.8     1           0.00256     -122.     37.7            2
##  4  6677  14.5     1           0.000436    -122.     37.8            3
##  5  6532  16.1     1           0.00226     -122.     37.8            3
##  6  6686  25.7     1           0.000499    -122.     37.8            3
##  7  6570  17.7     1           0.00252     -122.     37.8            5
##  8  6677  29.0     1           0.00222     -122.     37.8            6
##  9  6657  24.1     1           0.00203     -122.     37.8            6
## 10  6576  17.7     1           0.000274    -122.     37.8            6
## # ℹ 25,832 more rows
## # ℹ 2 more variables: .distance_on_edge <dbl>, .group <chr>
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  ID speed day 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We get the values of the weights at data locations. This essentially gives us covariates from the weights.

sf_graph$edgeweight_to_data(data_loc = TRUE)
sf_graph$get_data()
## # A tibble: 101,616 × 50
##       ID speed   day .distance_to_graph Length FRC   SpeedLimit StreetName
##    <int> <dbl> <dbl>              <dbl>  <dbl> <chr>      <dbl> <chr>     
##  1    NA  NA      NA          NA        0.0826 4             40 16th St   
##  2    NA  NA      NA          NA        0.0826 4             40 16th St   
##  3    NA  NA      NA          NA        0.0826 4             40 16th St   
##  4    NA  NA      NA          NA        0.0826 4             40 16th St   
##  5  8969  99.8     1           0.000426 0.137  0            105 I-280 N   
##  6  6588  91.7     1           0.00206  0.137  0            105 I-280 N   
##  7  8848  99.8     1           0.00256  0.137  0            105 I-280 N   
##  8    NA  NA      NA          NA        0.137  0            105 I-280 N   
##  9    NA  NA      NA          NA        0.137  0            105 I-280 N   
## 10    NA  NA      NA          NA        0.137  0            105 I-280 N   
## # ℹ 101,606 more rows
## # ℹ 42 more variables: harmonicAverageSpeed <dbl>, medianSpeed <dbl>,
## #   averageSpeed <dbl>, sampleSize <int>, averageTravelTime <dbl>,
## #   medianTravelTime <dbl>, travelTimeRatio <dbl>, List_Number <int>,
## #   `5percentile` <int>, `10percentile` <int>, `15percentile` <int>,
## #   `20percentile` <int>, `25percentile` <int>, `30percentile` <int>,
## #   `35percentile` <int>, `40percentile` <int>, `45percentile` <int>, …
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  ID speed day Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

When running sf_graph$edgeweight_to_data(data_loc = TRUE), some NA values are created (because the data is grouped). We remove them below. We also standardize the SpeedLimit covariate.

data = sf_graph$get_data() %>% 
  drop_na(-StreetName) %>% # this drops all rows with at least one NA value but without taking into account StreetName
  mutate(across(c("SpeedLimit"), ~standardize(.))) %>%
  dplyr::select(speed, SpeedLimit)

The code of chunk below was executed only one time.


{r, eval = FALSE}
aux = data |>
  rename(distance_on_edge = .distance_on_edge, edge_number = .edge_number) |>
  as.data.frame() |>
  dplyr::select(edge_number, distance_on_edge, .group)

distmatrixlist = list()

for (i in 1:4) {
  distmatrixlist[[i]] = sf_graph$compute_geodist_PtE(PtE = aux %>% 
                                                       filter(.group == as.character(i)) %>% 
                                                       dplyr::select(-.group),
                                                     normalized = TRUE,
                                                     include_vertices = FALSE)
}


save(distmatrixlist, file = here("Models_output/distmatrixfixed_19May24.RData"))

The code of chunk above was executed only one time.


summary(data)
##      speed          SpeedLimit         .group           .edge_number  
##  Min.   :  0.00   Min.   :-2.0263   Length:25842       Min.   :    1  
##  1st Qu.: 12.87   1st Qu.:-0.4784   Class :character   1st Qu.: 2078  
##  Median : 24.14   Median :-0.4784   Mode  :character   Median : 4558  
##  Mean   : 25.98   Mean   : 0.0000                      Mean   : 4839  
##  3rd Qu.: 35.41   3rd Qu.: 0.0844                      3rd Qu.: 7548  
##  Max.   :114.26   Max.   : 4.0947                      Max.   :11104  
##  .distance_on_edge    .coord_x         .coord_y    
##  Min.   :0.0000    Min.   :-122.5   Min.   :37.70  
##  1st Qu.:0.2631    1st Qu.:-122.5   1st Qu.:37.74  
##  Median :0.5218    Median :-122.4   Median :37.76  
##  Mean   :0.5137    Mean   :-122.4   Mean   :37.76  
##  3rd Qu.:0.7700    3rd Qu.:-122.4   3rd Qu.:37.78  
##  Max.   :0.9998    Max.   :-122.4   Max.   :37.81

We add the data again but now with the new standardized SpeedLimit covariate.

sf_graph$add_observations(data = data, 
                          group = "day", 
                          normalized = TRUE, 
                          clear_obs = TRUE)
sf_graph$get_data()
## # A tibble: 25,842 × 7
##    speed SpeedLimit .coord_x .coord_y .edge_number .distance_on_edge .group
##    <dbl>      <dbl>    <dbl>    <dbl>        <dbl>             <dbl> <chr> 
##  1  99.8       4.09    -122.     37.7            2            0.195  1     
##  2  91.7       4.09    -122.     37.7            2            0.227  1     
##  3  99.8       4.09    -122.     37.7            2            0.363  1     
##  4  14.5      -1.04    -122.     37.8            3            0.309  1     
##  5  16.1      -1.04    -122.     37.8            3            0.583  1     
##  6  25.7      -1.04    -122.     37.8            3            0.925  1     
##  7  17.7      -1.04    -122.     37.8            5            0.0567 1     
##  8  29.0      -1.04    -122.     37.8            6            0.129  1     
##  9  24.1      -1.04    -122.     37.8            6            0.612  1     
## 10  17.7      -1.04    -122.     37.8            6            0.755  1     
## # ℹ 25,832 more rows
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: The graph has no mesh! 
## 
## Data: 
##   Columns:  speed SpeedLimit 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We build a mesh.

h = 0.05
sf_graph$build_mesh(h = h)
summary(sf_graph)
## A metric graph object with:
## 
## Vertices:
##   Total: 8781 
##   Degree 1: 15;  Degree 2: 6409;  Degree 3: 343;  Degree 4: 1842;  Degree 5: 58; 
##   Degree 6: 111;  Degree 7: 2;  Degree 8: 1; 
##   With incompatible directions:  0 
## 
## Edges: 
##   Total: 11104 
##   Lengths: 
##       Min: 0.00283468  ; Max: 1.480513  ; Total: 505.6148 
##   Weights: 
##       Columns: Length FRC SpeedLimit StreetName harmonicAverageSpeed medianSpeed averageSpeed sampleSize averageTravelTime medianTravelTime travelTimeRatio List_Number 5percentile 10percentile 15percentile 20percentile 25percentile 30percentile 35percentile 40percentile 45percentile 50percentile 55percentile 60percentile 65percentile 70percentile 75percentile 80percentile 85percentile 90percentile 95percentile road_type class_4 class_0 class_3 class_1 upto1 upto3 upto4 density density_per_hour 
##   That are circles:  0 
## 
## Graph units: 
##   Vertices unit:  degrees  ; Lengths unit:  km 
## 
## Longitude and Latitude coordinates:  TRUE
##   Which spatial package:  sf 
##   CRS:  EPSG:4326
## 
## Some characteristics of the graph:
##   Connected: TRUE
##   Has loops: FALSE
##   Has multiple edges: TRUE
##   Is a tree: FALSE
##   Distance consistent: FALSE
##   Has Euclidean edges: FALSE
## 
## Computed quantities inside the graph: 
##   Laplacian:  FALSE  ; Geodesic distances:  TRUE 
##   Resistance distances:  FALSE  ; Finite element matrices:  FALSE 
## 
## Mesh: 
##   Max h_e:  0.04999869  ; Min n_e:  0 
## 
## Data: 
##   Columns:  speed SpeedLimit 
##   Groups:  .group 
## 
## Tolerances: 
##   vertex-vertex:  0.001 
##   vertex-edge:  0.001 
##   edge-edge:  0

We get the value of the weights at mesh locations. This will allow us to built matrices B.sigma and B.range below. Again, sf_graph$edgeweight_to_data(mesh = TRUE, add = FALSE, return = TRUE) creates repeated information (because the data is grouped). We fix that by filtering one group. We also standardize the SpeedLimit covariate.

mesh = sf_graph$edgeweight_to_data(mesh = TRUE, 
                                   add = FALSE, 
                                   return = TRUE) %>% 
  filter(.group == 1) %>%
  mutate(across(c("SpeedLimit"), ~standardize(.))) %>%
  dplyr:::select.data.frame(SpeedLimit)
summary(mesh)
##    SpeedLimit      
##  Min.   :-1.91072  
##  1st Qu.:-0.76409  
##  Median :-0.34714  
##  Mean   : 0.00000  
##  3rd Qu.: 0.06981  
##  Max.   : 2.62366

1.1 Stationary model

  • Observe that we are considering replicates.
stat.time.ini <- Sys.time()
################################################################################
################################# STATIONARY MODEL #############################
################################################################################

rspde_model_stat <- rspde.metric_graph(sf_graph,
                                         parameterization = "matern",
                                         nu = 0.5)
str(rspde_model_stat)
## List of 21
##  $ f                   :List of 3
##   ..$ model   : chr "cgeneric"
##   ..$ n       : int 13932
##   ..$ cgeneric:List of 5
##   .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. ..$ n    : int 13932
##   .. ..$ debug: logi FALSE
##   .. ..$ data :List of 5
##   .. .. ..$ ints      :List of 5
##   .. .. .. ..$ n          : int 13932
##   .. .. .. ..$ debug      : int 0
##   .. .. .. ..$ m_alpha    : int 1
##   .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..$ doubles   :List of 4
##   .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. ..$ nu              : num 0.5
##   .. .. ..$ characters:List of 4
##   .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. ..$ matrices  :List of 1
##   .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. ..$ smatrices : list()
##   .. ..- attr(*, "class")= chr "inla.cgeneric"
##  $ cgeneric_type       : chr "int_alpha"
##  $ nu                  : num 0.5
##  $ theta.prior.mean    : num [1:2] 0 1.35
##  $ prior.nu            :List of 4
##   ..$ loglocation: num -5e-06
##   ..$ mean       : num 1
##   ..$ prec       : num 3
##   ..$ logscale   : num 1
##  $ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##  $ start.nu            : num 0.5
##  $ integer.nu          : logi TRUE
##  $ start.theta         : num [1:2] 0 1.35
##  $ stationary          : logi TRUE
##  $ rspde.order         : num 2
##  $ dim                 : num 1
##  $ est_nu              : logi FALSE
##  $ nu.upper.bound      : num 2
##  $ prior.nu.dist       : chr "lognormal"
##  $ debug               : logi FALSE
##  $ type.rational.approx: chr "chebfun"
##  $ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##  $ fem_mesh            :List of 4
##   ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. ..@ factors : list()
##   ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. ..@ factors : list()
##   ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. ..@ factors : list()
##   ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. ..@ factors : list()
##  $ parameterization    : chr "matern"
##  $ n.spde              : int 13932
##  - attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
data_rspde_bru_stat <- graph_data_rspde(rspde_model_stat,
                                        repl = ".all",
                                        loc_name = "loc")
str(data_rspde_bru_stat)
## List of 4
##  $ data :List of 8
##   ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##  $ index:List of 3
##   ..$ field      : int [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ field.group: int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ field.repl : int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "class")= chr [1:2] "inla_rspde_index" "list"
##   ..- attr(*, "rspde.order")= num 0
##   ..- attr(*, "integer_nu")= logi TRUE
##   ..- attr(*, "n.mesh")= int 13932
##   ..- attr(*, "name")= chr "field"
##   ..- attr(*, "n.group")= int 1
##   ..- attr(*, "n.repl")= int 4
##  $ repl : chr [1:25842] "1" "1" "1" "1" ...
##  $ basis:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. ..@ i       : int [1:51684] 0 1 3 8 9 10 11 12 13 14 ...
##   .. ..@ p       : int [1:55729] 0 0 0 2 2 10 16 16 16 21 ...
##   .. ..@ Dim     : int [1:2] 25842 55728
##   .. ..@ Dimnames:List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : NULL
##   .. ..@ x       : num [1:51684] 0.416 0.319 0.382 0.224 0.509 ...
##   .. ..@ factors : list()
cmp_stat = speed ~ -1 +
  Intercept(1) +
  field(loc, model = rspde_model_stat,
        replicate = data_rspde_bru_stat[["repl"]])

rspde_fit_stat <-
  bru(cmp_stat,
      data = data_rspde_bru_stat[["data"]],
      family = "gaussian",
      options = list(verbose = FALSE)
  )
str(rspde_fit_stat)
## List of 56
##  $ names.fixed                : chr "Intercept"
##  $ summary.fixed              :'data.frame': 1 obs. of  7 variables:
##   ..$ mean      : num 32.5
##   ..$ sd        : num 0.709
##   ..$ 0.025quant: num 31.1
##   ..$ 0.5quant  : num 32.5
##   ..$ 0.975quant: num 33.8
##   ..$ mode      : num 32.5
##   ..$ kld       : num 2.83e-09
##  $ marginals.fixed            :List of 1
##   ..$ Intercept: num [1:43, 1:2] 29.4 29.8 30.2 30.8 31.1 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ summary.lincomb            :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb          : NULL
##  $ size.lincomb               : NULL
##  $ summary.lincomb.derived    :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb.derived  : NULL
##  $ size.lincomb.derived       : NULL
##  $ mlik                       : num [1:2, 1] -104778 -104777
##   ..- attr(*, "dimnames")=List of 2
##   .. ..$ : chr [1:2] "log marginal-likelihood (integration)" "log marginal-likelihood (Gaussian)"
##   .. ..$ : NULL
##  $ cpo                        :List of 3
##   ..$ cpo    : logi(0) 
##   ..$ pit    : logi(0) 
##   ..$ failure: logi(0) 
##  $ gcpo                       :List of 5
##   ..$ gcpo  : NULL
##   ..$ kld   : NULL
##   ..$ mean  : NULL
##   ..$ sd    : NULL
##   ..$ groups: NULL
##  $ po                         :List of 1
##   ..$ po: num [1:25842] 0.0293 0.0317 0.0302 0.0337 0.0319 ...
##  $ waic                       :List of 4
##   ..$ waic       : num 203115
##   ..$ p.eff      : num 5382
##   ..$ local.waic : num [1:25842] 7.29 7.02 7.21 6.82 6.99 ...
##   ..$ local.p.eff: num [1:25842] 0.1135 0.0569 0.1054 0.0187 0.0516 ...
##  $ residuals                  :List of 1
##   ..$ deviance.residuals: num [1:25842] 0.732 -0.579 0.679 -0.439 -0.573 ...
##  $ model.random               : chr "CGeneric"
##  $ summary.random             :List of 1
##   ..$ field:'data.frame':    55728 obs. of  8 variables:
##   .. ..$ ID        : num [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   .. ..$ mean      : num [1:55728] -10.54 -5.42 58.87 63.53 -20.52 ...
##   .. ..$ sd        : num [1:55728] 13.92 15.35 8.62 13.55 4.98 ...
##   .. ..$ 0.025quant: num [1:55728] -37.8 -35.5 42 36.9 -30.3 ...
##   .. ..$ 0.5quant  : num [1:55728] -10.54 -5.42 58.87 63.53 -20.52 ...
##   .. ..$ 0.975quant: num [1:55728] 16.8 24.7 75.8 90.1 -10.8 ...
##   .. ..$ mode      : num [1:55728] -10.54 -5.42 58.87 63.53 -20.52 ...
##   .. ..$ kld       : num [1:55728] 1.60e-11 1.55e-11 3.14e-11 1.17e-11 4.68e-11 ...
##  $ marginals.random           :List of 1
##   ..$ field:List of 55728
##   .. ..$ index.1    : num [1:43, 1:2] -70 -62.4 -53.6 -43 -37.8 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.2    : num [1:43, 1:2] -70.9 -62.6 -52.9 -41.2 -35.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.3    : num [1:43, 1:2] 22.1 26.8 32.2 38.8 42 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.4    : num [1:43, 1:2] 5.66 13.04 21.59 31.97 36.95 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.5    : num [1:43, 1:2] -41.7 -39 -35.9 -32.1 -30.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.6    : num [1:43, 1:2] -29.3 -26.4 -23.1 -19 -17.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.7    : num [1:43, 1:2] -70.7 -63.8 -55.8 -46.1 -41.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.8    : num [1:43, 1:2] -83.8 -75.1 -65.1 -52.9 -47 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.9    : num [1:43, 1:2] -40.3 -37.4 -34.2 -30.2 -28.3 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.10   : num [1:43, 1:2] -45.3 -42.6 -39.5 -35.7 -33.9 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.11   : num [1:43, 1:2] -51.3 -47.5 -43.1 -37.7 -35.1 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.12   : num [1:43, 1:2] -39 -35.5 -31.5 -26.7 -24.4 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.13   : num [1:43, 1:2] -31.8 -28.8 -25.4 -21.2 -19.2 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.14   : num [1:43, 1:2] -34.3 -31.8 -28.9 -25.3 -23.6 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.15   : num [1:43, 1:2] -42.5 -40 -37.2 -33.7 -32 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.16   : num [1:43, 1:2] -38.9 -36.6 -33.9 -30.7 -29.1 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.17   : num [1:43, 1:2] -72.4 -66.7 -59.9 -51.8 -47.9 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.18   : num [1:43, 1:2] -87.5 -79.9 -71.1 -60.4 -55.3 ...
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##   .. ..$ index.19   : num [1:43, 1:2] -69.3 -64.1 -58.1 -50.9 -47.4 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.20   : num [1:43, 1:2] -62.7 -57.6 -51.6 -44.3 -40.9 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.21   : num [1:43, 1:2] -38.7 -36.2 -33.4 -29.9 -28.3 ...
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##   .. ..$ index.22   : num [1:43, 1:2] -47 -43.2 -38.8 -33.4 -30.8 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.24   : num [1:43, 1:2] -30.1 -28.1 -25.8 -23 -21.6 ...
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##   .. .. .. ..$ : NULL
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##   .. ..$ index.25   : num [1:43, 1:2] -28.4 -26.4 -24.1 -21.4 -20 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.26   : num [1:43, 1:2] -41.1 -35.5 -28.9 -21 -17.1 ...
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##   .. .. .. ..$ : chr [1:2] "x" "y"
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##   .. .. [list output truncated]
##  $ size.random                :List of 1
##   ..$ :List of 5
##   .. ..$ n     : num 13932
##   .. ..$ N     : num 13932
##   .. ..$ Ntotal: num 55728
##   .. ..$ ngroup: num 1
##   .. ..$ nrep  : num 4
##  $ summary.linear.predictor   :'data.frame': 81571 obs. of  7 variables:
##   ..$ mean      : num [1:81571] 94.1 94.6 96.1 15.4 18.9 ...
##   ..$ sd        : num [1:81571] 5.72 5.68 6.51 4.68 5.54 ...
##   ..$ 0.025quant: num [1:81571] 82.93 83.47 83.37 6.24 8.07 ...
##   ..$ 0.5quant  : num [1:81571] 94.1 94.6 96.1 15.4 18.9 ...
##   ..$ 0.975quant: num [1:81571] 105.4 105.8 108.9 24.6 29.8 ...
##   ..$ mode      : num [1:81571] 94.1 94.6 96.1 15.4 18.9 ...
##   ..$ kld       : num [1:81571] 4.88e-11 4.83e-11 4.88e-11 4.48e-11 3.97e-11 ...
##  $ marginals.linear.predictor : NULL
##  $ summary.fitted.values      :'data.frame': 81571 obs. of  6 variables:
##   ..$ mean      : num [1:81571] 94.1 94.6 96.1 15.4 18.9 ...
##   ..$ sd        : num [1:81571] 5.72 5.68 6.51 4.68 5.54 ...
##   ..$ 0.025quant: num [1:81571] 82.93 83.47 83.37 6.24 8.07 ...
##   ..$ 0.5quant  : num [1:81571] 94.1 94.6 96.1 15.4 18.9 ...
##   ..$ 0.975quant: num [1:81571] 105.4 105.8 108.9 24.6 29.8 ...
##   ..$ mode      : num [1:81571] 94.1 94.6 96.1 15.4 18.9 ...
##  $ marginals.fitted.values    : NULL
##  $ size.linear.predictor      :List of 5
##   ..$ n     : num 55729
##   ..$ N     : num 55729
##   ..$ Ntotal: num 81571
##   ..$ ngroup: num 1
##   ..$ nrep  : num 2
##  $ summary.hyperpar           :'data.frame': 3 obs. of  6 variables:
##   ..$ mean      : num [1:3] 0.00849 3.34094 0.04714
##   ..$ sd        : num [1:3] 0.000104 0.02717 0.071109
##   ..$ 0.025quant: num [1:3] 0.00829 3.28783 -0.09161
##   ..$ 0.5quant  : num [1:3] 0.00849 3.34082 0.04672
##   ..$ 0.975quant: num [1:3] 0.0087 3.3948 0.1884
##   ..$ mode      : num [1:3] 0.00849 3.34028 0.04496
##  $ marginals.hyperpar         :List of 3
##   ..$ Precision for the Gaussian observations: num [1:43, 1:2] 0.00806 0.00811 0.00818 0.00825 0.00829 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                       : num [1:43, 1:2] 3.23 3.24 3.26 3.28 3.29 ...
##   .. ..- attr(*, "hyperid")= chr ""
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##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                       : num [1:43, 1:2] -0.2532 -0.2151 -0.171 -0.1175 -0.0916 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ internal.summary.hyperpar  :'data.frame': 3 obs. of  6 variables:
##   ..$ mean      : num [1:3] -4.7685 3.341 0.0472
##   ..$ sd        : num [1:3] 0.0122 0.0272 0.0711
##   ..$ 0.025quant: num [1:3] -4.7925 3.2878 -0.0916
##   ..$ 0.5quant  : num [1:3] -4.7685 3.3408 0.0467
##   ..$ 0.975quant: num [1:3] -4.745 3.395 0.188
##   ..$ mode      : num [1:3] -4.7685 3.3403 0.0451
##  $ internal.marginals.hyperpar:List of 3
##   ..$ Log precision for the Gaussian observations: num [1:43, 1:2] -4.82 -4.81 -4.81 -4.8 -4.79 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                           : num [1:43, 1:2] 3.23 3.24 3.26 3.28 3.29 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                           : num [1:43, 1:2] -0.2532 -0.2151 -0.171 -0.1175 -0.0916 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ offset.linear.predictor    : num [1:81571] 0 0 0 0 0 0 0 0 0 0 ...
##  $ model.spde2.blc            : NULL
##  $ summary.spde2.blc          : list()
##  $ marginals.spde2.blc        : NULL
##  $ size.spde2.blc             : NULL
##  $ model.spde3.blc            : NULL
##  $ summary.spde3.blc          : list()
##  $ marginals.spde3.blc        : NULL
##  $ size.spde3.blc             : NULL
##  $ logfile                    : chr [1:594] "[PANUA] PARDISO License is expired." "[PANUA] Please obtain a new PARDISO license at https://www.panua.ch/products/pardiso" "        Read ntt 24 1 with max.threads 24" "        Found num.threads = 24:1 max_threads = 24" ...
##  $ misc                       :List of 22
##   ..$ cov.intern                        : num [1:3, 1:3] 1.49e-04 -2.27e-05 -2.41e-04 -2.27e-05 7.38e-04 ...
##   ..$ cor.intern                        : num [1:3, 1:3] 1 -0.0684 -0.2778 -0.0684 1 ...
##   ..$ cov.intern.eigenvalues            : num [1:3] 0.00009 0.000205 0.005645
##   ..$ cov.intern.eigenvectors           : num [1:3, 1:3] 0.76 -0.604 0.242 -0.649 -0.728 ...
##   ..$ reordering                        : int [1:55729] 34297 34305 35781 35764 32571 32628 32492 32506 32631 32590 ...
##   ..$ theta.tags                        : chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   ..$ log.posterior.mode                : num -104768
##   ..$ stdev.corr.negative               : num [1:3] 1 0.998 0.979
##   ..$ stdev.corr.positive               : num [1:3] 1 1 1.02
##   ..$ to.theta                          :List of 3
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   ..$ from.theta                        :List of 3
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   ..$ mode.status                       : num 0
##   ..$ lincomb.derived.correlation.matrix: NULL
##   ..$ lincomb.derived.covariance.matrix : NULL
##   ..$ opt.directions                    : num [1:3, 1:3] 0.284 0.477 0.832 0.822 0.325 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : chr [1:3] "theta:1" "theta:2" "theta:3"
##   .. .. ..$ : chr [1:3] "dir:1" "dir:2" "dir:3"
##   ..$ configs                           :List of 17
##   .. ..$ .preopt          : logi TRUE
##   .. ..$ lite             : logi FALSE
##   .. ..$ mpred            : int 25842
##   .. ..$ npred            : int 55729
##   .. ..$ mnpred           : int 81571
##   .. ..$ Npred            : int 25842
##   .. ..$ n                : int 55729
##   .. ..$ nz               : int 135020
##   .. ..$ prior_nz         : int 116273
##   .. ..$ ntheta           : int 3
##   .. ..$ nconfig          : int 15
##   .. ..$ offsets          : num [1:81571] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ contents         :List of 3
##   .. .. ..$ tag   : chr [1:4] "APredictor" "Predictor" "field" "Intercept"
##   .. .. ..$ start : int [1:4] 1 25843 81572 137300
##   .. .. ..$ length: int [1:4] 25842 55729 55728 1
##   .. ..$ A                :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:55729] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. ..@ j       : int [1:55729] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:55729] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ pA               :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:77500] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ j       : int [1:77500] 0 0 0 0 0 0 0 0 0 0 ...
##   .. .. .. ..@ Dim     : int [1:2] 25842 55729
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:77500] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ config           :List of 15
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7684 3.3402 0.0447
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -3.41
##   .. .. .. ..$ log.posterior.orig: num 0
##   .. .. .. ..$ mean              : num [1:55729] -10.55 -5.42 58.87 63.54 -20.52 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.55 -5.42 58.87 63.54 -20.52 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0692 0.034 0.0187 0.0144 0.0434 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 193.9 235.8 74.3 183.6 24.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0692 0.034 0.0163 0.0144 0.0179 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04783 -0.02448 0.03085 -0.00792 -0.02401 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.1 94.6 96.1 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.45 -10.55 -5.42 58.87 63.54 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7547 3.3293 0.0491
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.82
##   .. .. .. ..$ mean              : num [1:55729] -10.5 -5.4 58.9 63.5 -20.5 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.5 -5.4 58.9 63.5 -20.5 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.071 0.0349 0.0191 0.0148 0.0442 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 189.1 230.1 72.8 179.2 24.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.071 0.0349 0.0167 0.0148 0.0184 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04863 -0.02467 0.03146 -0.00818 -0.02438 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.1 94.6 96.1 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.4 -10.5 -5.4 58.9 63.5 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7822 3.3511 0.0404
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.48
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55729] -10.57 -5.44 58.88 63.55 -20.55 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.57 -5.44 58.88 63.55 -20.55 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0674 0.0332 0.0182 0.0141 0.0426 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 198.7 241.7 75.9 188.1 25.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0674 0.0332 0.0159 0.0141 0.0175 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04704 -0.02429 0.03026 -0.00766 -0.02365 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.6 96.2 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.46 -10.57 -5.44 58.88 63.55 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7862 3.3203 0.0508
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55729] -10.41 -5.32 58.83 63.43 -20.34 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.41 -5.32 58.83 63.43 -20.34 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0724 0.0356 0.0194 0.0151 0.0438 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 185.9 226 72.9 176.9 24.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0724 0.0356 0.0171 0.0151 0.0188 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04785 -0.02314 0.03139 -0.00854 -0.02377 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94 94.5 96 15.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.43 -10.41 -5.32 58.83 63.43 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7508 3.36 0.0387
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.82
##   .. .. .. ..$ mean              : num [1:55729] -10.67 -5.51 58.91 63.65 -20.7 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.67 -5.51 58.91 63.65 -20.7 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0661 0.0325 0.018 0.0138 0.043 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 202.1 246 75.9 190.6 24.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0661 0.0325 0.0156 0.0138 0.0171 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04784 -0.02581 0.03034 -0.00725 -0.02425 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.7 96.3 15.3 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.48 -10.67 -5.51 58.91 63.65 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.775 3.388 0.183
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.44
##   .. .. .. ..$ log.posterior.orig: num -1.77
##   .. .. .. ..$ mean              : num [1:55729] -10.4 -5.2 58.9 63.9 -20.4 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.4 -5.2 58.9 63.9 -20.4 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0722 0.0355 0.0193 0.015 0.044 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 191.5 234.5 72.9 178 24.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0722 0.0355 0.017 0.015 0.0187 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04706 -0.02475 0.03024 -0.00838 -0.02386 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.7 96.2 15.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.5 -10.4 -5.2 58.9 63.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7625 3.2947 -0.0877
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.54
##   .. .. .. ..$ log.posterior.orig: num -1.87
##   .. .. .. ..$ mean              : num [1:55729] -10.6 -5.61 58.78 63.09 -20.61 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.6 -5.61 58.78 63.09 -20.61 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0664 0.0327 0.018 0.0139 0.0428 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 195 235.3 75.8 188.9 25 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0664 0.0327 0.0157 0.0139 0.0172 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.0488 -0.02399 0.03171 -0.00748 -0.02417 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.1 94.5 96.1 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.43 -10.6 -5.61 58.78 63.09 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7627 3.3317 -0.0377
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.44
##   .. .. .. ..$ log.posterior.orig: num -1.77
##   .. .. .. ..$ mean              : num [1:55729] -10.7 -5.6 58.8 63.4 -20.7 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.7 -5.6 58.8 63.4 -20.7 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0648 0.0319 0.0176 0.0135 0.0424 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 202.2 245 77 193.5 25.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0648 0.0319 0.0153 0.0135 0.0168 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04789 -0.02489 0.03066 -0.00713 -0.02402 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.6 96.2 15.3 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.5 -10.7 -5.6 58.8 63.4 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.77 3.385 0.118
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.43
##   .. .. .. ..$ log.posterior.orig: num -1.75
##   .. .. .. ..$ mean              : num [1:55729] -10.58 -5.37 58.94 63.83 -20.59 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.58 -5.37 58.94 63.83 -20.59 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.068 0.0335 0.0184 0.0142 0.043 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 200.2 244.5 75.2 186.9 25 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.068 0.0335 0.016 0.0142 0.0176 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04691 -0.0253 0.02984 -0.00767 -0.02386 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.7 96.3 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.48 -10.58 -5.37 58.94 63.83 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7832 3.3087 -0.0307
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55729] -10.53 -5.49 58.8 63.23 -20.49 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.53 -5.49 58.8 63.23 -20.49 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0683 0.0336 0.0184 0.0143 0.0428 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 192.7 233.3 75.2 185.3 25 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0683 0.0336 0.0161 0.0143 0.0177 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04791 -0.02334 0.03128 -0.00789 -0.02376 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.1 94.5 96 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.43 -10.53 -5.49 58.8 63.23 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.79 3.362 0.125
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.51
##   .. .. .. ..$ log.posterior.orig: num -1.84
##   .. .. .. ..$ mean              : num [1:55729] -10.42 -5.25 58.9 63.7 -20.38 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.42 -5.25 58.9 63.7 -20.38 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0717 0.0353 0.0192 0.015 0.0435 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 190.7 232.8 73.5 179 24.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0717 0.0353 0.0169 0.015 0.0186 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.0469 -0.0238 0.03042 -0.00839 -0.02358 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.1 94.6 96.1 15.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.45 -10.42 -5.25 58.9 63.7 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7469 3.3191 -0.0327
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.46
##   .. .. .. ..$ log.posterior.orig: num -1.79
##   .. .. .. ..$ mean              : num [1:55729] -10.64 -5.57 58.84 63.36 -20.65 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.64 -5.57 58.84 63.36 -20.65 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0668 0.0329 0.0181 0.0139 0.0433 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 196.6 238.2 75.1 188.1 24.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0668 0.0329 0.0158 0.0139 0.0173 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04882 -0.02512 0.03136 -0.00742 -0.02445 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.6 96.2 15.3 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.45 -10.64 -5.57 58.84 63.36 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.754 3.373 0.124
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.49
##   .. .. .. ..$ log.posterior.orig: num -1.81
##   .. .. .. ..$ mean              : num [1:55729] -10.55 -5.34 58.94 63.81 -20.55 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.55 -5.34 58.94 63.81 -20.55 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0701 0.0345 0.0189 0.0146 0.044 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 194.5 237.7 73.4 181.7 24.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0701 0.0345 0.0165 0.0146 0.0182 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04782 -0.02554 0.03052 -0.00797 -0.02428 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.7 96.2 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.47 -10.55 -5.34 58.94 63.81 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.7673 3.2961 -0.0257
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.54
##   .. .. .. ..$ log.posterior.orig: num -1.87
##   .. .. .. ..$ mean              : num [1:55729] -10.5 -5.47 58.79 63.22 -20.45 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.5 -5.47 58.79 63.22 -20.45 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0704 0.0347 0.019 0.0147 0.0437 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 187.4 226.8 73.4 180.1 24.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0704 0.0347 0.0166 0.0147 0.0183 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04884 -0.02354 0.03199 -0.00819 -0.02418 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94 94.5 96 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.42 -10.5 -5.47 58.79 63.22 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:3] -4.774 3.35 0.131
##   .. .. .. .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   .. .. .. ..$ log.posterior     : num -4.54
##   .. .. .. ..$ log.posterior.orig: num -1.87
##   .. .. .. ..$ mean              : num [1:55729] -10.39 -5.22 58.89 63.68 -20.35 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.39 -5.22 58.89 63.68 -20.35 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0739 0.0364 0.0198 0.0154 0.0444 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 185.4 226.3 71.8 174.1 24.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0739 0.0364 0.0174 0.0154 0.0192 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04781 -0.024 0.03112 -0.00869 -0.02399 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.1 94.6 96.1 15.5 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.45 -10.39 -5.22 58.89 63.68 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. ..$ max.log.posterior: num -104768
##   ..$ nfunc                             : num 184
##   ..$ warnings                          : chr(0) 
##   ..$ opt.trace                         :List of 3
##   .. ..$ f    : Named num [1:49] 68256960 67994110 67838986 26981911 26981911 ...
##   .. .. ..- attr(*, "names")= chr [1:49] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ nfunc: Named int [1:49] 1 2 4 5 6 7 10 13 15 17 ...
##   .. .. ..- attr(*, "names")= chr [1:49] "iter1" "iter2" "iter3" "iter4" ...
##   .. ..$ theta: num [1:49, 1:3] 4 4 4 3.16 3.16 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : chr [1:49] "iter1" "iter2" "iter3" "iter4" ...
##   .. .. .. ..$ : chr [1:3] "theta1" "theta2" "theta3"
##   ..$ theta.mode                        : num [1:3] -4.7684 3.3402 0.0447
##   ..$ linkfunctions                     :List of 2
##   .. ..$ names: chr "identity"
##   .. ..$ link : int [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ family                            : int [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##  $ dic                        :List of 14
##   ..$ dic              : num 202689
##   ..$ p.eff            : num 6124
##   ..$ mean.deviance    : num 196566
##   ..$ deviance.mean    : num 190442
##   ..$ dic.sat          : num 31938
##   ..$ mean.deviance.sat: num 25814
##   ..$ deviance.mean.sat: num 19691
##   ..$ family.dic       : num 202689
##   ..$ family.dic.sat   : num 31937
##   ..$ family.p.eff     : num 6124
##   ..$ family           : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ local.dic        : num [1:25842] 7.43 7.23 7.44 6.99 7.19 ...
##   ..$ local.dic.sat    : num [1:25842] 0.814 0.609 0.822 0.379 0.588 ...
##   ..$ local.p.eff      : num [1:25842] 0.278 0.274 0.36 0.186 0.26 ...
##  $ mode                       :List of 5
##   ..$ theta             : Named num [1:3] -4.7684 3.3402 0.0447
##   .. ..- attr(*, "names")= chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   ..$ x                 : num [1:137300] 94.1 94.6 96.1 15.4 18.9 ...
##   ..$ theta.tags        : chr [1:3] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field"
##   ..$ mode.status       : num 0
##   ..$ log.posterior.mode: num -104768
##  $ joint.hyper                :'data.frame': 15 obs. of  5 variables:
##   ..$ Log precision for the Gaussian observations : num [1:15] -4.77 -4.75 -4.78 -4.79 -4.75 ...
##   ..$ Theta1 for field                            : num [1:15] 3.34 3.33 3.35 3.32 3.36 ...
##   ..$ Theta2 for field                            : num [1:15] 0.0447 0.0491 0.0404 0.0508 0.0387 ...
##   ..$ Log posterior density                       : num [1:15] -104780 -104782 -104782 -104782 -104782 ...
##   ..$ Total integration weight (log.dens included): num [1:15] 0.1735 0.0588 0.0593 0.0591 0.0588 ...
##  $ nhyper                     : int 3
##  $ version                    :List of 2
##   ..$ inla.call: chr "GITCOMMIT [b51fb385728e90bce98ca92b1d8762a2d13f655c - Sat May 18 13:21:08 2024 +0300]"
##   ..$ R.INLA   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##  $ Q                          : NULL
##  $ graph                      : NULL
##  $ ok                         : logi TRUE
##  $ cpu.intern                 : chr [1:16] "Wall-clock time used on [/tmp/RtmpPirrjQ/file34f0335a11375c/Model.ini]" "Preparations             :   0.143 seconds" "Approx inference (stage1):  28.059 seconds" "Approx inference (stage2):   0.001 seconds" ...
##  $ cpu.used                   : Named num [1:4] 1.14 50.58 4.63 56.36
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##  $ .args                      :List of 30
##   ..$ formula          :Class 'formula'  language BRU.response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   ..$ family           : chr "gaussian"
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##   .. ..$ BRU.response            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. ..$ BRU.E                   : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.Ntrials             : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.weights             : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
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##   .. ..$ BRU.offset              : num [1:25842] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ Intercept               : num [1:55729] 1 NA NA NA NA NA NA NA NA NA ...
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##   .. ..$ field                   : int [1:55729] NA 1 2 3 4 5 6 7 8 9 ...
##   .. ..$ field.group             : int [1:55729] NA 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ field.repl              : int [1:55729] NA 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU_Intercept_main_model: chr "linear"
##   .. ..$ BRU_Intercept_values    : num 1
##   .. ..$ BRU_field_main_model    :List of 21
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##   .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
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##   .. .. ..$ stationary          : logi TRUE
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##   .. .. ..$ nu.upper.bound      : num 2
##   .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. ..$ debug               : logi FALSE
##   .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. ..$ fem_mesh            :List of 4
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##   .. ..$ BRU_field_values        : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ quantiles        : num [1:3] 0.025 0.5 0.975
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##   .. .. .. ..$ output.name       : chr "beta[2] for lp_scale"
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##   .. .. .. ..$ output.name.intern: chr "beta[2] for lp_scale"
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##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##   .. .. .. ..$ output.name       : chr "beta[3] for lp_scale"
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##   .. .. .. ..$ output.name.intern: chr "beta[3] for lp_scale"
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##   .. .. .. ..$ prior             : chr "normal"
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##   .. .. ..$ theta4  :List of 11
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##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
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##   .. .. .. ..$ prior             : chr "normal"
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##   .. .. .. ..$ to.theta          :function (x)  
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##   .. .. ..$ theta5  :List of 11
##   .. .. .. ..$ hyperid           : num 103005
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta5"
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##   .. .. .. ..$ short.name        : chr "b5"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[5] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[5] for lp_scale"
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##   .. .. .. ..$ initial           : num 1
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##   .. .. .. ..$ prior             : chr "normal"
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##   .. .. ..$ theta6  :List of 11
##   .. .. .. ..$ hyperid           : num 103006
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta6"
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##   .. .. .. ..$ short.name        : chr "b6"
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##   .. .. .. ..$ output.name       : chr "beta[6] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[6] for lp_scale"
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##   .. .. .. ..$ prior             : chr "normal"
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##   .. .. ..$ theta7  :List of 11
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##   .. .. .. ..$ short.name        : chr "b7"
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##   .. .. .. ..$ output.name       : chr "beta[7] for lp_scale"
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##   .. .. .. ..$ output.name.intern: chr "beta[7] for lp_scale"
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##   .. .. .. ..$ prior             : chr "normal"
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##   .. .. ..$ theta8  :List of 11
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##   .. .. .. ..$ short.name        : chr "b8"
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##   .. .. .. ..$ output.name       : chr "beta[8] for lp_scale"
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##   .. .. .. ..$ output.name       : chr "beta[9] for lp_scale"
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##   .. .. .. ..$ short.name        : chr "b10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta11 :List of 11
##   .. .. .. ..$ hyperid           : num 103011
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta12 :List of 11
##   .. .. .. ..$ hyperid           : num 103012
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta13 :List of 11
##   .. .. .. ..$ hyperid           : num 103013
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta14 :List of 11
##   .. .. .. ..$ hyperid           : num 103014
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta15 :List of 11
##   .. .. .. ..$ hyperid           : num 103015
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta16 :List of 11
##   .. .. .. ..$ hyperid           : num 103016
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta17 :List of 11
##   .. .. .. ..$ hyperid           : num 103017
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta18 :List of 11
##   .. .. .. ..$ hyperid           : num 103018
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta19 :List of 11
##   .. .. .. ..$ hyperid           : num 103019
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta20 :List of 11
##   .. .. .. ..$ hyperid           : num 103020
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta21 :List of 11
##   .. .. .. ..$ hyperid           : num 103021
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta22 :List of 11
##   .. .. .. ..$ hyperid           : num 103022
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta23 :List of 11
##   .. .. .. ..$ hyperid           : num 103023
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta24 :List of 11
##   .. .. .. ..$ hyperid           : num 103024
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta25 :List of 11
##   .. .. .. ..$ hyperid           : num 103025
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta26 :List of 11
##   .. .. .. ..$ hyperid           : num 103026
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta27 :List of 11
##   .. .. .. ..$ hyperid           : num 103027
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta28 :List of 11
##   .. .. .. ..$ hyperid           : num 103028
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta29 :List of 11
##   .. .. .. ..$ hyperid           : num 103029
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta30 :List of 11
##   .. .. .. ..$ hyperid           : num 103030
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta31 :List of 11
##   .. .. .. ..$ hyperid           : num 103031
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta32 :List of 11
##   .. .. .. ..$ hyperid           : num 103032
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta33 :List of 11
##   .. .. .. ..$ hyperid           : num 103033
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta34 :List of 11
##   .. .. .. ..$ hyperid           : num 103034
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta35 :List of 11
##   .. .. .. ..$ hyperid           : num 103035
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta36 :List of 11
##   .. .. .. ..$ hyperid           : num 103036
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta37 :List of 11
##   .. .. .. ..$ hyperid           : num 103037
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta38 :List of 11
##   .. .. .. ..$ hyperid           : num 103038
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta39 :List of 11
##   .. .. .. ..$ hyperid           : num 103039
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta40 :List of 11
##   .. .. .. ..$ hyperid           : num 103040
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta41 :List of 11
##   .. .. .. ..$ hyperid           : num 103041
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta42 :List of 11
##   .. .. .. ..$ hyperid           : num 103042
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta43 :List of 11
##   .. .. .. ..$ hyperid           : num 103043
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta44 :List of 11
##   .. .. .. ..$ hyperid           : num 103044
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta45 :List of 11
##   .. .. .. ..$ hyperid           : num 103045
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta46 :List of 11
##   .. .. .. ..$ hyperid           : num 103046
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta47 :List of 11
##   .. .. .. ..$ hyperid           : num 103047
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta48 :List of 11
##   .. .. .. ..$ hyperid           : num 103048
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta49 :List of 11
##   .. .. .. ..$ hyperid           : num 103049
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta50 :List of 11
##   .. .. .. ..$ hyperid           : num 103050
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta51 :List of 11
##   .. .. .. ..$ hyperid           : num 103051
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta52 :List of 11
##   .. .. .. ..$ hyperid           : num 103052
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta53 :List of 11
##   .. .. .. ..$ hyperid           : num 103053
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta54 :List of 11
##   .. .. .. ..$ hyperid           : num 103054
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta55 :List of 11
##   .. .. .. ..$ hyperid           : num 103055
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta56 :List of 11
##   .. .. .. ..$ hyperid           : num 103056
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta57 :List of 11
##   .. .. .. ..$ hyperid           : num 103057
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta58 :List of 11
##   .. .. .. ..$ hyperid           : num 103058
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta59 :List of 11
##   .. .. .. ..$ hyperid           : num 103059
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta60 :List of 11
##   .. .. .. ..$ hyperid           : num 103060
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta61 :List of 11
##   .. .. .. ..$ hyperid           : num 103061
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta62 :List of 11
##   .. .. .. ..$ hyperid           : num 103062
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta63 :List of 11
##   .. .. .. ..$ hyperid           : num 103063
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta64 :List of 11
##   .. .. .. ..$ hyperid           : num 103064
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta65 :List of 11
##   .. .. .. ..$ hyperid           : num 103065
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta66 :List of 11
##   .. .. .. ..$ hyperid           : num 103066
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta67 :List of 11
##   .. .. .. ..$ hyperid           : num 103067
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta68 :List of 11
##   .. .. .. ..$ hyperid           : num 103068
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta69 :List of 11
##   .. .. .. ..$ hyperid           : num 103069
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta70 :List of 11
##   .. .. .. ..$ hyperid           : num 103070
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta71 :List of 11
##   .. .. .. ..$ hyperid           : num 103071
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta72 :List of 11
##   .. .. .. ..$ hyperid           : num 103072
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta73 :List of 11
##   .. .. .. ..$ hyperid           : num 103073
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta74 :List of 11
##   .. .. .. ..$ hyperid           : num 103074
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta75 :List of 11
##   .. .. .. ..$ hyperid           : num 103075
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta76 :List of 11
##   .. .. .. ..$ hyperid           : num 103076
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta77 :List of 11
##   .. .. .. ..$ hyperid           : num 103077
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta78 :List of 11
##   .. .. .. ..$ hyperid           : num 103078
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta79 :List of 11
##   .. .. .. ..$ hyperid           : num 103079
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta80 :List of 11
##   .. .. .. ..$ hyperid           : num 103080
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta81 :List of 11
##   .. .. .. ..$ hyperid           : num 103081
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta82 :List of 11
##   .. .. .. ..$ hyperid           : num 103082
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta83 :List of 11
##   .. .. .. ..$ hyperid           : num 103083
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta84 :List of 11
##   .. .. .. ..$ hyperid           : num 103084
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta85 :List of 11
##   .. .. .. ..$ hyperid           : num 103085
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta86 :List of 11
##   .. .. .. ..$ hyperid           : num 103086
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta87 :List of 11
##   .. .. .. ..$ hyperid           : num 103087
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta88 :List of 11
##   .. .. .. ..$ hyperid           : num 103088
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta89 :List of 11
##   .. .. .. ..$ hyperid           : num 103089
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta90 :List of 11
##   .. .. .. ..$ hyperid           : num 103090
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta91 :List of 11
##   .. .. .. ..$ hyperid           : num 103091
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta92 :List of 11
##   .. .. .. ..$ hyperid           : num 103092
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta92"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b92"
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##  $ call                       : chr [1:14] "inla.core(formula = formula, family = family, contrasts = contrasts, " "    data = data, quantiles = quantiles, E = E, offset = offset, " "    scale = scale, weights = weights, Ntrials = Ntrials, strata = strata, " "    lp.scale = lp.scale, link.covariates = link.covariates, verbose = verbose, " ...
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##   .. ..$ log      : chr [1:7] "2024-05-28 00:05:06.420231: iinla: Evaluate component inputs" "2024-05-28 00:05:06.546825: iinla: Evaluate component linearisations" "2024-05-28 00:05:18.199779: iinla: Evaluate component simplifications" "2024-05-28 00:05:29.666873: iinla: Evaluate predictor linearisation" ...
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##  $ bru_timings                :'data.frame': 3 obs. of  5 variables:
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##   .. .. .. .. .. .. .. ..$ replicate:List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int 1
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: num 1
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 1
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int 1
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 1
##   .. .. .. .. .. .. ..$ n_inla           : num 1
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 1 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 1
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..$ field    :List of 12
##   .. .. .. ..$ label       : chr "field"
##   .. .. .. ..$ inla.formula:Class 'formula'  language ~. + f(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. .. .. ..$ main        :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : symbol loc
##   .. .. .. .. .. ..$ label   : chr "field"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ model:List of 21
##   .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. ..$ m_alpha    : int 1
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. ..$ nu              : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 1
##   .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. ..$ model         :List of 21
##   .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. ..$ m_alpha    : int 1
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..$ doubles   :List of 4
##   .. .. .. .. .. .. .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ nu              : num 0.5
##   .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. ..$ matrices  :List of 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. ..$ type          : chr "cgeneric"
##   .. .. .. .. ..$ n             : num 13932
##   .. .. .. .. ..$ values        : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "field.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : language data_rspde_bru_stat[["repl"]]
##   .. .. .. .. .. ..$ label   : chr "field.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 4
##   .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : int 4
##   .. .. .. .. ..$ values        : int [1:4] 1 2 3 4
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x5caa7480c250> 
##   .. .. .. ..$ fcall       : language "f"(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     :List of 1
##   .. .. .. .. .. .. .. .. ..$ model:List of 21
##   .. .. .. .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ m_alpha    : int 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 4
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices_less   : num [1:58136] 0.0534 0 0 0 0.0776 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ nu              : num 0.5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ characters:List of 4
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_stat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ parameterization : chr "matern"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 1
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:6] 2 2 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ smatrices : list()
##   .. .. .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:2, 1:2] 0.1 0 0 0.1
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:2] 0 1.35
##   .. .. .. .. .. .. .. .. .. ..$ stationary          : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 4
##   .. .. .. .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 55728
##   .. .. .. .. .. .. ..$ n_inla           : num 55728
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 55728 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 55728
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..- attr(*, "class")= chr [1:2] "component_list" "list"
##   .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..$ formula:Class 'formula'  language BRU_response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..- attr(*, "class")= chr [1:2] "bru_model" "list"
##   ..$ lhoods         :List of 1
##   .. ..$ :List of 17
##   .. .. ..$ family        : chr "gaussian"
##   .. .. ..$ formula       :Class 'formula'  language speed ~ .
##   .. .. .. .. ..- attr(*, ".Environment")=<environment: 0x5caa7765e028> 
##   .. .. ..$ response_data :List of 4
##   .. .. .. ..$ BRU_response: num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ BRU_E       : num 1
##   .. .. .. ..$ BRU_Ntrials : num 1
##   .. .. .. ..$ BRU_scale   : num 1
##   .. .. ..$ data          :List of 8
##   .. .. .. ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   .. .. .. ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   .. .. .. ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   .. .. .. ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   .. .. .. ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   .. .. .. ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##   .. .. ..$ E             : num 1
##   .. .. ..$ Ntrials       : num 1
##   .. .. ..$ weights       : num 1
##   .. .. ..$ scale         : num 1
##   .. .. ..$ samplers      : NULL
##   .. .. ..$ linear        : logi TRUE
##   .. .. ..$ expr          : NULL
##   .. .. ..$ response      : chr "BRU_response"
##   .. .. ..$ inla.family   : chr "gaussian"
##   .. .. ..$ domain        : NULL
##   .. .. ..$ used          :List of 2
##   .. .. .. ..$ effect: chr [1:2] "Intercept" "field"
##   .. .. .. ..$ latent: chr(0) 
##   .. .. .. ..- attr(*, "class")= chr "bru_used"
##   .. .. ..$ allow_combine : logi TRUE
##   .. .. ..$ control.family: NULL
##   .. .. ..- attr(*, "class")= chr [1:2] "bru_like" "list"
##   .. ..- attr(*, "class")= chr [1:2] "bru_like_list" "list"
##   ..$ options        :List of 14
##   .. ..$ bru_verbose      : num 0
##   .. ..$ bru_verbose_store: num Inf
##   .. ..$ bru_max_iter     : num 1
##   .. ..$ bru_run          : logi TRUE
##   .. ..$ bru_int_args     :List of 3
##   .. .. ..$ method: chr "stable"
##   .. .. ..$ nsub1 : num 30
##   .. .. ..$ nsub2 : num 9
##   .. ..$ bru_method       :List of 6
##   .. .. ..$ taylor         : chr "pandemic"
##   .. .. ..$ search         : chr "all"
##   .. .. ..$ factor         : num 1.62
##   .. .. ..$ rel_tol        : num 0.1
##   .. .. ..$ max_step       : num 2
##   .. .. ..$ line_opt_method: chr "onestep"
##   .. ..$ bru_compress_cp  : logi TRUE
##   .. ..$ bru_debug        : logi FALSE
##   .. ..$ E                : num 1
##   .. ..$ Ntrials          : num 1
##   .. ..$ control.compute  :List of 3
##   .. .. ..$ config: logi TRUE
##   .. .. ..$ dic   : logi TRUE
##   .. .. ..$ waic  : logi TRUE
##   .. ..$ control.inla     :List of 1
##   .. .. ..$ int.strategy: chr "auto"
##   .. ..$ control.fixed    :List of 1
##   .. .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ verbose          : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "bru_options" "list"
##   ..$ inlabru_version: Named chr "2.10.1.9007"
##   .. ..- attr(*, "names")= chr "version"
##   ..$ INLA_version   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##   ..- attr(*, "class")= chr [1:2] "bru_info" "list"
##  - attr(*, "class")= chr [1:3] "bru" "iinla" "inla"
stat.time.fin <- Sys.time()
print(stat.time.fin - stat.time.ini)
## Time difference of 2.765689 mins
summary(rspde_fit_stat)
## inlabru version: 2.10.1.9007
## INLA version: 24.05.18-2
## Components:
## Intercept: main = linear(1), group = exchangeable(1L), replicate = iid(1L)
## field: main = cgeneric(loc), group = exchangeable(1L), replicate = iid(data_rspde_bru_stat[["repl"]])
## Likelihoods:
##   Family: 'gaussian'
##     Data class: 'metric_graph_data', 'list'
##     Predictor: speed ~ .
## Time used:
##     Pre = 1.14, Running = 50.6, Post = 4.63, Total = 56.4 
## Fixed effects:
##             mean    sd 0.025quant 0.5quant 0.975quant   mode kld
## Intercept 32.453 0.709     31.062   32.452     33.847 32.452   0
## 
## Random effects:
##   Name     Model
##     field CGeneric
## 
## Model hyperparameters:
##                                          mean    sd 0.025quant 0.5quant
## Precision for the Gaussian observations 0.008 0.000      0.008    0.008
## Theta1 for field                        3.341 0.027      3.288    3.341
## Theta2 for field                        0.047 0.071     -0.092    0.047
##                                         0.975quant  mode
## Precision for the Gaussian observations      0.009 0.008
## Theta1 for field                             3.395 3.340
## Theta2 for field                             0.188 0.045
## 
## Deviance Information Criterion (DIC) ...............: 202689.23
## Deviance Information Criterion (DIC, saturated) ....: 31937.66
## Effective number of parameters .....................: 6123.69
## 
## Watanabe-Akaike information criterion (WAIC) ...: 203115.32
## Effective number of parameters .................: 5381.58
## 
## Marginal log-Likelihood:  -104777.20 
##  is computed 
## Posterior summaries for the linear predictor and the fitted values are computed
## (Posterior marginals needs also 'control.compute=list(return.marginals.predictor=TRUE)')
fit.rspde = rspde.result(rspde_fit_stat, "field", rspde_model_stat)
summary(fit.rspde)
##             mean        sd 0.025quant 0.5quant 0.975quant     mode
## std.dev 28.25600 0.7635600  26.796300 28.24130   29.79450 28.20550
## range    1.05088 0.0744494   0.913495  1.04775    1.20571  1.04035

1.2 Nonstationary model

  • Observe that we are using the computed parameters from the stationary model as initial values for the nonstationary models.
nonstat.time.ini <- Sys.time()
################################################################################
############################# NON STATIONARY MODEL #############################
################################################################################

B.sigma = cbind(0, 1, 0, mesh$SpeedLimit, 0)
B.range = cbind(0, 0, 1, 0, mesh$SpeedLimit)
init.vec.theta = c(fit.rspde$summary.log.std.dev$mode, 
                   fit.rspde$summary.log.range$mode, 
                   rep(0, (ncol(B.sigma)-3)))

rspde_model_nonstat <- rspde.metric_graph(sf_graph,
                                          start.theta = init.vec.theta,
                                          theta.prior.mean = init.vec.theta,
                                          B.sigma = B.sigma,
                                          B.range = B.range,
                                          parameterization = "matern",
                                          nu = 0.5)
str(rspde_model_nonstat)
## List of 21
##  $ f                   :List of 3
##   ..$ model   : chr "cgeneric"
##   ..$ n       : int 13932
##   ..$ cgeneric:List of 5
##   .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. ..$ n    : int 13932
##   .. ..$ debug: logi FALSE
##   .. ..$ data :List of 5
##   .. .. ..$ ints      :List of 5
##   .. .. .. ..$ n          : int 13932
##   .. .. .. ..$ debug      : int 0
##   .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. ..$ alpha      : int 1
##   .. .. ..$ doubles   :List of 2
##   .. .. .. ..$ start.theta     : num [1:4] 3.34 0.045 0 0
##   .. .. .. ..$ theta.prior.mean: num [1:4] 3.34 0.045 0 0
##   .. .. ..$ characters:List of 3
##   .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. ..$ matrices  :List of 3
##   .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. ..$ smatrices :List of 2
##   .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. ..- attr(*, "class")= chr "inla.cgeneric"
##  $ cgeneric_type       : chr "int_alpha"
##  $ nu                  : num 0.5
##  $ theta.prior.mean    : num [1:4] 3.34 0.045 0 0
##  $ prior.nu            :List of 4
##   ..$ loglocation: num -5e-06
##   ..$ mean       : num 1
##   ..$ prec       : num 3
##   ..$ logscale   : num 1
##  $ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##  $ start.nu            : num 0.5
##  $ integer.nu          : logi TRUE
##  $ start.theta         : num [1:4] 3.34 0.045 0 0
##  $ stationary          : logi FALSE
##  $ rspde.order         : num 2
##  $ dim                 : num 1
##  $ est_nu              : logi FALSE
##  $ nu.upper.bound      : num 2
##  $ prior.nu.dist       : chr "lognormal"
##  $ debug               : logi FALSE
##  $ type.rational.approx: chr "chebfun"
##  $ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##  $ fem_mesh            :List of 4
##   ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. ..@ factors : list()
##   ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. ..@ factors : list()
##   ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. ..@ factors : list()
##   ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. ..@ Dimnames:List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : NULL
##   .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. ..@ factors : list()
##  $ parameterization    : chr "matern"
##  $ n.spde              : int 13932
##  - attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
data_rspde_bru_nonstat <- graph_data_rspde(rspde_model_nonstat,
                                           repl = ".all",
                                           loc_name = "loc")
str(data_rspde_bru_nonstat)
## List of 4
##  $ data :List of 8
##   ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##  $ index:List of 3
##   ..$ field      : int [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   ..$ field.group: int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ field.repl : int [1:55728] 1 1 1 1 1 1 1 1 1 1 ...
##   ..- attr(*, "class")= chr [1:2] "inla_rspde_index" "list"
##   ..- attr(*, "rspde.order")= num 0
##   ..- attr(*, "integer_nu")= logi TRUE
##   ..- attr(*, "n.mesh")= int 13932
##   ..- attr(*, "name")= chr "field"
##   ..- attr(*, "n.group")= int 1
##   ..- attr(*, "n.repl")= int 4
##  $ repl : chr [1:25842] "1" "1" "1" "1" ...
##  $ basis:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. ..@ i       : int [1:51684] 0 1 3 8 9 10 11 12 13 14 ...
##   .. ..@ p       : int [1:55729] 0 0 0 2 2 10 16 16 16 21 ...
##   .. ..@ Dim     : int [1:2] 25842 55728
##   .. ..@ Dimnames:List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : NULL
##   .. ..@ x       : num [1:51684] 0.416 0.319 0.382 0.224 0.509 ...
##   .. ..@ factors : list()
cmp_nonstat = speed ~ -1 +
  Intercept(1) +
  field(loc, model = rspde_model_nonstat,
        replicate = data_rspde_bru_nonstat[["repl"]])

rspde_fit_nonstat <-
  bru(cmp_nonstat,
      data = data_rspde_bru_nonstat[["data"]],
      family = "gaussian",
      options = list(verbose = FALSE)
  )
str(rspde_fit_nonstat)
## List of 56
##  $ names.fixed                : chr "Intercept"
##  $ summary.fixed              :'data.frame': 1 obs. of  7 variables:
##   ..$ mean      : num 32.6
##   ..$ sd        : num 0.696
##   ..$ 0.025quant: num 31.2
##   ..$ 0.5quant  : num 32.6
##   ..$ 0.975quant: num 33.9
##   ..$ mode      : num 32.6
##   ..$ kld       : num 2.62e-09
##  $ marginals.fixed            :List of 1
##   ..$ Intercept: num [1:43, 1:2] 29.6 30 30.4 31 31.2 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ summary.lincomb            :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb          : NULL
##  $ size.lincomb               : NULL
##  $ summary.lincomb.derived    :'data.frame': 0 obs. of  0 variables
##  $ marginals.lincomb.derived  : NULL
##  $ size.lincomb.derived       : NULL
##  $ mlik                       : num [1:2, 1] -104787 -104784
##   ..- attr(*, "dimnames")=List of 2
##   .. ..$ : chr [1:2] "log marginal-likelihood (integration)" "log marginal-likelihood (Gaussian)"
##   .. ..$ : NULL
##  $ cpo                        :List of 3
##   ..$ cpo    : logi(0) 
##   ..$ pit    : logi(0) 
##   ..$ failure: logi(0) 
##  $ gcpo                       :List of 5
##   ..$ gcpo  : NULL
##   ..$ kld   : NULL
##   ..$ mean  : NULL
##   ..$ sd    : NULL
##   ..$ groups: NULL
##  $ po                         :List of 1
##   ..$ po: num [1:25842] 0.0298 0.0315 0.0296 0.0337 0.0318 ...
##  $ waic                       :List of 4
##   ..$ waic       : num 203106
##   ..$ p.eff      : num 5394
##   ..$ local.waic : num [1:25842] 7.23 7.04 7.29 6.82 7.01 ...
##   ..$ local.p.eff: num [1:25842] 0.1028 0.0613 0.1251 0.0184 0.0538 ...
##  $ residuals                  :List of 1
##   ..$ deviance.residuals: num [1:25842] 0.701 -0.592 0.719 -0.438 -0.581 ...
##  $ model.random               : chr "CGeneric"
##  $ summary.random             :List of 1
##   ..$ field:'data.frame':    55728 obs. of  8 variables:
##   .. ..$ ID        : num [1:55728] 1 2 3 4 5 6 7 8 9 10 ...
##   .. ..$ mean      : num [1:55728] -10.29 -5.23 61.3 65.98 -21.13 ...
##   .. ..$ sd        : num [1:55728] 13.83 15.28 9.03 14.23 5.07 ...
##   .. ..$ 0.025quant: num [1:55728] -37.4 -35.2 43.6 38.1 -31.1 ...
##   .. ..$ 0.5quant  : num [1:55728] -10.29 -5.23 61.28 65.95 -21.13 ...
##   .. ..$ 0.975quant: num [1:55728] 16.8 24.7 79.1 94 -11.2 ...
##   .. ..$ mode      : num [1:55728] -10.29 -5.23 61.28 65.95 -21.13 ...
##   .. ..$ kld       : num [1:55728] 9.66e-12 4.21e-12 1.07e-09 7.14e-10 7.25e-11 ...
##  $ marginals.random           :List of 1
##   ..$ field:List of 55728
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##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.96   : num [1:43, 1:2] -17.06 -14.54 -11.61 -8.04 -6.34 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.97   : num [1:43, 1:2] -45.6 -41 -35.7 -29.3 -26.2 ...
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##   .. ..$ index.98   : num [1:43, 1:2] -40.7 -37 -32.8 -27.6 -25.1 ...
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##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. ..$ index.99   : num [1:43, 1:2] -35.2 -32.5 -29.3 -25.4 -23.5 ...
##   .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. ..$ : NULL
##   .. .. .. ..$ : chr [1:2] "x" "y"
##   .. .. [list output truncated]
##  $ size.random                :List of 1
##   ..$ :List of 5
##   .. ..$ n     : num 13932
##   .. ..$ N     : num 13932
##   .. ..$ Ntotal: num 55728
##   .. ..$ ngroup: num 1
##   .. ..$ nrep  : num 4
##  $ summary.linear.predictor   :'data.frame': 81571 obs. of  7 variables:
##   ..$ mean      : num [1:81571] 94.7 94.9 95.3 15.4 19.2 ...
##   ..$ sd        : num [1:81571] 5.79 5.71 6.48 4.66 5.5 ...
##   ..$ 0.025quant: num [1:81571] 83.37 83.67 82.58 6.27 8.4 ...
##   ..$ 0.5quant  : num [1:81571] 94.7 94.9 95.3 15.4 19.2 ...
##   ..$ 0.975quant: num [1:81571] 106.1 106 108 24.5 30 ...
##   ..$ mode      : num [1:81571] 94.7 94.9 95.3 15.4 19.2 ...
##   ..$ kld       : num [1:81571] 5.74e-11 4.86e-11 5.48e-11 4.45e-11 3.97e-11 ...
##  $ marginals.linear.predictor : NULL
##  $ summary.fitted.values      :'data.frame': 81571 obs. of  6 variables:
##   ..$ mean      : num [1:81571] 94.7 94.9 95.3 15.4 19.2 ...
##   ..$ sd        : num [1:81571] 5.79 5.71 6.48 4.66 5.5 ...
##   ..$ 0.025quant: num [1:81571] 83.37 83.67 82.58 6.27 8.4 ...
##   ..$ 0.5quant  : num [1:81571] 94.7 94.9 95.3 15.4 19.2 ...
##   ..$ 0.975quant: num [1:81571] 106.1 106 108 24.5 30 ...
##   ..$ mode      : num [1:81571] 94.7 94.9 95.3 15.4 19.2 ...
##  $ marginals.fitted.values    : NULL
##  $ size.linear.predictor      :List of 5
##   ..$ n     : num 55729
##   ..$ N     : num 55729
##   ..$ Ntotal: num 81571
##   ..$ ngroup: num 1
##   ..$ nrep  : num 2
##  $ summary.hyperpar           :'data.frame': 5 obs. of  6 variables:
##   ..$ mean      : num [1:5] 0.0085 3.3494 0.0978 -0.0324 -0.0998
##   ..$ sd        : num [1:5] 0.0001 0.0224 0.0798 0.0468 0.096
##   ..$ 0.025quant: num [1:5] 0.00829 3.31404 -0.01613 -0.12237 -0.28435
##   ..$ 0.5quant  : num [1:5] 0.0085 3.347 0.0864 -0.0331 -0.1013
##   ..$ 0.975quant: num [1:5] 0.00869 3.40039 0.28444 0.06179 0.0936
##   ..$ mode      : num [1:5] 0.00851 3.33461 0.02794 -0.03617 -0.10768
##  $ marginals.hyperpar         :List of 5
##   ..$ Precision for the Gaussian observations: num [1:43, 1:2] 0.00805 0.00811 0.00817 0.00825 0.00829 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                       : num [1:43, 1:2] 3.29 3.29 3.3 3.31 3.31 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                       : num [1:43, 1:2] -0.085 -0.0701 -0.0513 -0.0292 -0.0161 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                       : num [1:43, 1:2] -0.225 -0.201 -0.173 -0.139 -0.122 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta4 for field                       : num [1:43, 1:2] -0.495 -0.446 -0.388 -0.318 -0.284 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ internal.summary.hyperpar  :'data.frame': 5 obs. of  6 variables:
##   ..$ mean      : num [1:5] -4.7681 3.35 0.0997 -0.0323 -0.0995
##   ..$ sd        : num [1:5] 0.0118 0.0223 0.0795 0.0468 0.096
##   ..$ 0.025quant: num [1:5] -4.7923 3.314 -0.0161 -0.1224 -0.2844
##   ..$ 0.5quant  : num [1:5] -4.7677 3.347 0.0864 -0.0331 -0.1013
##   ..$ 0.975quant: num [1:5] -4.746 3.4004 0.2844 0.0618 0.0936
##   ..$ mode      : num [1:5] -4.7661 3.335 0.0276 -0.036 -0.1072
##  $ internal.marginals.hyperpar:List of 5
##   ..$ Log precision for the Gaussian observations: num [1:43, 1:2] -4.82 -4.82 -4.81 -4.8 -4.79 ...
##   .. ..- attr(*, "hyperid")= chr "65001|INLA.Data1"
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta1 for field                           : num [1:43, 1:2] 3.29 3.29 3.3 3.31 3.31 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta2 for field                           : num [1:43, 1:2] -0.085 -0.0701 -0.0513 -0.0292 -0.0161 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta3 for field                           : num [1:43, 1:2] -0.225 -0.201 -0.173 -0.139 -0.122 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##   ..$ Theta4 for field                           : num [1:43, 1:2] -0.495 -0.446 -0.388 -0.318 -0.284 ...
##   .. ..- attr(*, "hyperid")= chr ""
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : NULL
##   .. .. ..$ : chr [1:2] "x" "y"
##  $ offset.linear.predictor    : num [1:81571] 0 0 0 0 0 0 0 0 0 0 ...
##  $ model.spde2.blc            : NULL
##  $ summary.spde2.blc          : list()
##  $ marginals.spde2.blc        : NULL
##  $ size.spde2.blc             : NULL
##  $ model.spde3.blc            : NULL
##  $ summary.spde3.blc          : list()
##  $ marginals.spde3.blc        : NULL
##  $ size.spde3.blc             : NULL
##  $ logfile                    : chr [1:663] "[PANUA] PARDISO License is expired." "[PANUA] Please obtain a new PARDISO license at https://www.panua.ch/products/pardiso" "        Read ntt 24 1 with max.threads 24" "        Found num.threads = 24:1 max_threads = 24" ...
##  $ misc                       :List of 22
##   ..$ cov.intern                        : num [1:5, 1:5] 1.48e-04 -5.70e-06 -2.00e-04 -1.31e-05 -2.64e-05 ...
##   ..$ cor.intern                        : num [1:5, 1:5] 1 -0.022 -0.2911 -0.023 -0.0227 ...
##   ..$ cov.intern.eigenvalues            : num [1:5] 8.96e-05 5.25e-05 1.99e-04 3.49e-03 1.13e-02
##   ..$ cov.intern.eigenvectors           : num [1:5, 1:5] 0.75427 -0.61158 0.23839 0.00437 -0.01404 ...
##   ..$ reordering                        : int [1:55729] 46120 46137 53555 53614 47113 48747 47168 47198 47140 47135 ...
##   ..$ theta.tags                        : chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   ..$ log.posterior.mode                : num -104770
##   ..$ stdev.corr.negative               : num [1:5] 1.077 1 0.967 2.169 0.945
##   ..$ stdev.corr.positive               : num [1:5] 0.928 1 1.034 0.461 1.058
##   ..$ to.theta                          :List of 5
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   .. ..$ Theta4 for field                           :function (x)  
##   ..$ from.theta                        :List of 5
##   .. ..$ Log precision for the Gaussian observations:function (x)  
##   .. ..$ Theta1 for field                           :function (x)  
##   .. ..$ Theta2 for field                           :function (x)  
##   .. ..$ Theta3 for field                           :function (x)  
##   .. ..$ Theta4 for field                           :function (x)  
##   ..$ mode.status                       : num 0
##   ..$ lincomb.derived.correlation.matrix: NULL
##   ..$ lincomb.derived.covariance.matrix : NULL
##   ..$ opt.directions                    : num [1:5, 1:5] 0.0576 -0.2421 0.8646 0.2358 0.3673 ...
##   .. ..- attr(*, "dimnames")=List of 2
##   .. .. ..$ : chr [1:5] "theta:1" "theta:2" "theta:3" "theta:4" ...
##   .. .. ..$ : chr [1:5] "dir:1" "dir:2" "dir:3" "dir:4" ...
##   ..$ configs                           :List of 17
##   .. ..$ .preopt          : logi TRUE
##   .. ..$ lite             : logi FALSE
##   .. ..$ mpred            : int 25842
##   .. ..$ npred            : int 55729
##   .. ..$ mnpred           : int 81571
##   .. ..$ Npred            : int 25842
##   .. ..$ n                : int 55729
##   .. ..$ nz               : int 135020
##   .. ..$ prior_nz         : int 116273
##   .. ..$ ntheta           : int 5
##   .. ..$ nconfig          : int 27
##   .. ..$ offsets          : num [1:81571] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ contents         :List of 3
##   .. .. ..$ tag   : chr [1:4] "APredictor" "Predictor" "field" "Intercept"
##   .. .. ..$ start : int [1:4] 1 25843 81572 137300
##   .. .. ..$ length: int [1:4] 25842 55729 55728 1
##   .. ..$ A                :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:55729] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. ..@ j       : int [1:55729] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:55729] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ pA               :Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. ..@ i       : int [1:77500] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. ..@ j       : int [1:77500] 0 0 0 0 0 0 0 0 0 0 ...
##   .. .. .. ..@ Dim     : int [1:2] 25842 55729
##   .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. ..$ : NULL
##   .. .. .. .. ..$ : NULL
##   .. .. .. ..@ x       : num [1:77500] 1 1 1 1 1 1 1 1 1 1 ...
##   .. .. .. ..@ factors : list()
##   .. ..$ config           :List of 27
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7658 3.3332 0.0218 -0.0365 -0.1084
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.6
##   .. .. .. ..$ log.posterior.orig: num 0
##   .. .. .. ..$ mean              : num [1:55729] -10.32 -5.27 61.34 66.02 -21.16 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.32 -5.27 61.34 66.02 -21.16 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0704 0.0346 0.0171 0.0131 0.0417 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 191.1 233.1 80.4 201.5 25.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0704 0.0346 0.0148 0.0131 0.0162 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04291 -0.02677 0.03814 -0.00783 -0.02627 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.7 94.9 95.3 15.4 19.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.58 -10.32 -5.27 61.34 66.02 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7495 3.32 0.027 -0.0364 -0.1087
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.11
##   .. .. .. ..$ log.posterior.orig: num -2.85
##   .. .. .. ..$ mean              : num [1:55729] -10.29 -5.24 61.37 66.05 -21.12 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.29 -5.24 61.37 66.05 -21.12 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0727 0.0358 0.0176 0.0135 0.0426 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 185.4 226.2 78.5 195.9 25.1 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0727 0.0358 0.0152 0.0135 0.0167 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.0437 -0.02707 0.0391 -0.00815 -0.02678 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.7 94.9 95.3 15.4 19.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.58 -10.29 -5.24 61.37 66.05 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7847 3.3486 0.0159 -0.0366 -0.1081
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.47
##   .. .. .. ..$ log.posterior.orig: num -3.21
##   .. .. .. ..$ mean              : num [1:55729] -10.4 -5.3 61.3 66 -21.2 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.4 -5.3 61.3 66 -21.2 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0679 0.0334 0.0166 0.0126 0.0407 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 197.9 241.4 82.7 208.1 26.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0679 0.0334 0.0143 0.0126 0.0157 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04201 -0.02643 0.03706 -0.00747 -0.02569 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.8 94.9 95.3 15.4 19.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.6 -10.4 -5.3 61.3 66 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7657 3.333 0.0219 -0.0526 -0.1007
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.36
##   .. .. .. ..$ log.posterior.orig: num -3.1
##   .. .. .. ..$ mean              : num [1:55729] -10.6 -5.45 58.34 62.68 -20.47 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.6 -5.45 58.34 62.68 -20.47 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0684 0.0336 0.0187 0.0145 0.0435 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 197.1 240.2 73.7 181.2 24.6 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0684 0.0336 0.0164 0.0145 0.018 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04958 -0.0234 0.03064 -0.00788 -0.02379 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94 94.5 96.2 15.4 18.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.45 -10.6 -5.45 58.34 62.68 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7658 3.3334 0.0218 -0.0205 -0.1162
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.39
##   .. .. .. ..$ log.posterior.orig: num -3.12
##   .. .. .. ..$ mean              : num [1:55729] -9.94 -4.99 64.55 69.65 -21.69 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -9.94 -4.99 64.55 69.65 -21.69 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0726 0.0357 0.0156 0.0118 0.0401 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 185.2 226.2 87.6 224 26.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0726 0.0357 0.0133 0.0118 0.0146 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.03612 -0.03016 0.04594 -0.00786 -0.02878 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95.5 95.3 94.4 15.4 19.5 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.58 -9.94 -4.99 64.55 69.65 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7893 3.307 0.0287 -0.0365 -0.109
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.29
##   .. .. .. ..$ log.posterior.orig: num -3.02
##   .. .. .. ..$ mean              : num [1:55729] -10.15 -5.14 61.34 65.91 -20.94 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.15 -5.14 61.34 65.91 -20.94 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0748 0.0368 0.0179 0.0138 0.0421 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 180.9 220.4 78.5 192.4 25.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0748 0.0368 0.0157 0.0138 0.0172 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04297 -0.02497 0.03886 -0.00863 -0.02595 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.6 94.7 95.1 15.5 19.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.55 -10.15 -5.14 61.34 65.91 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7438 3.3578 0.0154 -0.0366 -0.1078
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.15
##   .. .. .. ..$ log.posterior.orig: num -2.88
##   .. .. .. ..$ mean              : num [1:55729] -10.47 -5.38 61.33 66.11 -21.36 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.47 -5.38 61.33 66.11 -21.36 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0666 0.0328 0.0164 0.0124 0.0414 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 201.2 245.6 82.2 210.5 25.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0666 0.0328 0.014 0.0124 0.0154 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04291 -0.02843 0.0375 -0.00702 -0.02656 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.8 95 95.5 15.3 19.1 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.61 -10.47 -5.38 61.33 66.11 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.762 3.3131 -0.0419 -0.0355 -0.1066
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.18
##   .. .. .. ..$ log.posterior.orig: num -0.91
##   .. .. .. ..$ mean              : num [1:55729] -10.35 -5.36 61.3 65.78 -21.2 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.35 -5.36 61.3 65.78 -21.2 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0688 0.0339 0.0168 0.0128 0.0415 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 192.5 234 81.3 204.8 25.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0688 0.0339 0.0144 0.0128 0.0159 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04339 -0.02659 0.03857 -0.00758 -0.02636 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.7 94.8 95.3 15.4 19.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.57 -10.35 -5.36 61.3 65.78 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7838 3.4281 0.3216 -0.0412 -0.1171
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -9.33
##   .. .. .. ..$ log.posterior.orig: num -6.06
##   .. .. .. ..$ mean              : num [1:55729] -10.07 -4.81 61.44 66.73 -20.96 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.07 -4.81 61.44 66.73 -20.96 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0786 0.0386 0.0188 0.0146 0.0432 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 181.7 224.2 76.4 185.9 25.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0786 0.0386 0.0165 0.0146 0.0181 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04135 -0.02697 0.03685 -0.00898 -0.02587 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.8 95 95.4 15.6 19.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.67 -10.07 -4.81 61.44 66.73 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7667 3.331 0.0316 0.0838 0.1408
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.7
##   .. .. .. ..$ log.posterior.orig: num -1.43
##   .. .. .. ..$ mean              : num [1:55729] -10.32 -5.36 61.03 66.06 -20.94 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.32 -5.36 61.03 66.06 -20.94 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.071 0.0349 0.0176 0.0135 0.0423 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 185 223.8 78.6 197 25.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.071 0.0349 0.0153 0.0135 0.0168 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04323 -0.02689 0.03612 -0.00794 -0.0258 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.7 94.9 95.5 15.4 19.1 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.49 -10.32 -5.36 61.03 66.06 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.765 3.3352 0.0131 -0.144 -0.331
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.99
##   .. .. .. ..$ log.posterior.orig: num -4.73
##   .. .. .. ..$ mean              : num [1:55729] -10.26 -5.21 60.81 64.04 -21.24 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.26 -5.21 60.81 64.04 -21.24 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.07 0.0344 0.0168 0.0129 0.0414 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 195.2 239.6 81 199.5 25.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.07 0.0344 0.0145 0.0129 0.0159 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04735 -0.02234 0.04349 -0.00806 -0.02689 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.4 94.7 15.4 19.2 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.62 -10.26 -5.21 60.81 64.04 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.77289 3.39261 0.1547 0.02232 -0.00392
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.05
##   .. .. .. ..$ log.posterior.orig: num -2.78
##   .. .. .. ..$ mean              : num [1:55729] -10.18 -5.07 62.67 68.11 -21.36 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.18 -5.07 62.67 68.11 -21.36 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0722 0.0355 0.0168 0.0128 0.0412 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 189.9 232.6 82.7 209 26.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0722 0.0355 0.0144 0.0128 0.0159 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.03858 -0.02935 0.03896 -0.00789 -0.02685 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95.2 95.2 95.2 15.4 19.3 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.63 -10.18 -5.07 62.67 68.11 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7624 3.343 -0.0161 -0.077 -0.2102
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.51
##   .. .. .. ..$ log.posterior.orig: num -2.24
##   .. .. .. ..$ mean              : num [1:55729] -10.23 -5.22 62.61 66.94 -21.59 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.23 -5.22 62.61 66.94 -21.59 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0676 0.0332 0.0156 0.0118 0.0402 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 198.6 242.9 86.3 220.3 26.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0676 0.0332 0.0133 0.0118 0.0146 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04088 -0.02755 0.04279 -0.00726 -0.02755 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95 95 94.8 15.3 19.3 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.62 -10.23 -5.22 62.61 66.94 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7924 3.3717 0.1524 -0.0795 -0.2154
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.32
##   .. .. .. ..$ log.posterior.orig: num -2.05
##   .. .. .. ..$ mean              : num [1:55729] -9.98 -4.88 62.78 67.57 -21.31 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -9.98 -4.88 62.78 67.57 -21.31 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0755 0.0371 0.0171 0.0131 0.0411 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 184.7 227.2 82.4 203.4 26.2 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0755 0.0371 0.0148 0.0131 0.0162 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.03958 -0.02657 0.0422 -0.00856 -0.02703 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95 94.9 94.7 15.5 19.4 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.64 -9.98 -4.88 62.78 67.57 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.78345 3.31845 -0.00192 0.02489 0.00029
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.69
##   .. .. .. ..$ log.posterior.orig: num -2.42
##   .. .. .. ..$ mean              : num [1:55729] -10.14 -5.21 62.65 67.65 -21.27 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.14 -5.21 62.65 67.65 -21.27 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0716 0.0352 0.0166 0.0126 0.0408 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 184.8 224.4 83.4 210 26.3 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0716 0.0352 0.0143 0.0126 0.0157 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.03943 -0.02772 0.04029 -0.00794 -0.02679 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95.1 95 95 15.4 19.3 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.55 -10.14 -5.21 62.65 67.65 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7721 3.3942 0.1465 -0.0939 -0.208
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.34
##   .. .. .. ..$ log.posterior.orig: num -1.07
##   .. .. .. ..$ mean              : num [1:55729] -10.43 -5.19 60.01 64.56 -20.94 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.43 -5.19 60.01 64.56 -20.94 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0698 0.0343 0.0178 0.0137 0.0423 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 199.3 245.1 77.8 192.6 25.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0698 0.0343 0.0154 0.0137 0.017 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04542 -0.02518 0.03483 -0.00789 -0.02509 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.4 94.7 95.7 15.4 19.1 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.61 -10.43 -5.19 60.01 64.56 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7631 3.34097 -0.00783 0.01049 0.00774
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.73
##   .. .. .. ..$ log.posterior.orig: num -2.46
##   .. .. .. ..$ mean              : num [1:55729] -10.6 -5.5 59.9 64.6 -20.9 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.6 -5.5 59.9 64.6 -20.9 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0662 0.0326 0.0173 0.0132 0.042 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 199.3 241.8 78.8 198.8 25.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0662 0.0326 0.0149 0.0132 0.0164 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04546 -0.02618 0.03297 -0.00723 -0.02484 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.5 94.8 95.9 15.3 19 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.5 -10.6 -5.5 59.9 64.6 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.79317 3.36968 0.1607 0.00799 0.00249
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.03
##   .. .. .. ..$ log.posterior.orig: num -3.76
##   .. .. .. ..$ mean              : num [1:55729] -10.3 -5.14 59.91 64.89 -20.59 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.3 -5.14 59.91 64.89 -20.59 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.074 0.0364 0.0189 0.0147 0.0431 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 186 228 75 183 25 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.074 0.0364 0.0167 0.0147 0.0183 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04456 -0.02482 0.03286 -0.00859 -0.02436 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.4 94.7 95.8 15.5 19 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.52 -10.3 -5.14 59.91 64.89 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7827 3.3201 -0.0101 -0.0913 -0.2038
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.01
##   .. .. .. ..$ log.posterior.orig: num -2.74
##   .. .. .. ..$ mean              : num [1:55729] -10.4 -5.33 59.84 63.79 -20.87 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.4 -5.33 59.84 63.79 -20.87 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0693 0.0341 0.0176 0.0136 0.0419 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 194.8 237.7 78.3 192.5 25.5 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0693 0.0341 0.0153 0.0136 0.0168 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04683 -0.02304 0.0366 -0.00798 -0.02506 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.2 94.5 95.4 15.4 19.1 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.55 -10.4 -5.33 59.84 63.79 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7564 3.3817 0.1514 -0.0795 -0.2152
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -4.7
##   .. .. .. ..$ log.posterior.orig: num -1.43
##   .. .. .. ..$ mean              : num [1:55729] -10.09 -4.96 62.81 67.69 -21.46 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.09 -4.96 62.81 67.69 -21.46 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0739 0.0363 0.0168 0.0128 0.0416 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 188.1 231.6 82.1 206.1 25.8 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0739 0.0363 0.0145 0.0128 0.0159 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04019 -0.02845 0.04263 -0.00819 -0.02784 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95.1 95 94.8 15.4 19.3 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.67 -10.09 -4.96 62.81 67.69 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.747385 3.328401 -0.002896 0.024942 0.000519
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.94
##   .. .. .. ..$ log.posterior.orig: num -2.67
##   .. .. .. ..$ mean              : num [1:55729] -10.25 -5.28 62.67 67.77 -21.43 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.25 -5.28 62.67 67.77 -21.43 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0701 0.0345 0.0164 0.0124 0.0414 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 188.3 228.7 83.2 212.8 25.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0701 0.0345 0.014 0.0124 0.0154 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.0401 -0.02958 0.04071 -0.00753 -0.02757 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95.2 95.1 95.1 15.4 19.3 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.57 -10.25 -5.28 62.67 67.77 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.77745 3.35711 0.16563 0.02244 -0.00473
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -7.27
##   .. .. .. ..$ log.posterior.orig: num -4
##   .. .. .. ..$ mean              : num [1:55729] -9.99 -4.93 62.72 68.05 -21.15 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -9.99 -4.93 62.72 68.05 -21.15 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0784 0.0385 0.0179 0.0138 0.0424 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 175.9 215.2 79.3 195.5 25.4 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0784 0.0385 0.0156 0.0138 0.0172 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.03928 -0.02817 0.04039 -0.00885 -0.02704 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 95.1 95.1 95 15.5 19.3 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.6 -9.99 -4.93 62.72 68.05 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7669 3.3075 -0.0052 -0.0769 -0.211
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.22
##   .. .. .. ..$ log.posterior.orig: num -2.95
##   .. .. .. ..$ mean              : num [1:55729] -10.1 -5.1 62.6 66.9 -21.4 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.1 -5.1 62.6 66.9 -21.4 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0734 0.0361 0.0167 0.0127 0.0412 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 183.9 224.8 82.6 205.9 25.9 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0734 0.0361 0.0144 0.0127 0.0158 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04176 -0.02618 0.0444 -0.00828 -0.02777 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.9 94.8 94.6 15.5 19.4 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.6 -10.1 -5.1 62.6 66.9 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7571 3.37963 0.15972 0.00805 0.00272
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -6.78
##   .. .. .. ..$ log.posterior.orig: num -3.51
##   .. .. .. ..$ mean              : num [1:55729] -10.42 -5.23 59.94 65 -20.74 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.42 -5.23 59.94 65 -20.74 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
##   .. .. .. ..$ Q                 :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0725 0.0356 0.0187 0.0144 0.0437 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qinv              :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:135020] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:135020] 189.7 232.1 74.8 185 24.7 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. ..@ i       : int [1:116273] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ p       : int [1:55730] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. ..@ Dim     : int [1:2] 55729 55729
##   .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..@ x       : num [1:116273] 0.0725 0.0356 0.0163 0.0144 0.018 ...
##   .. .. .. .. .. ..@ factors : list()
##   .. .. .. ..$ cpodens.moments   : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "skewness"
##   .. .. .. ..$ gcpodens.moments  : num[0 , 1:3] 
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "mean" "variance" "log.theta.correction"
##   .. .. .. ..$ arg.str           : NULL
##   .. .. .. ..$ ll.info           : num [1:25842, 1:3] 0.04543 -0.02656 0.03305 -0.00821 -0.02508 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:3] "gradient" "hessian" "deriv3"
##   .. .. .. ..$ APredictor        : num [1:25842, 1:2] 94.5 94.8 95.9 15.4 19 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.54 -10.42 -5.23 59.94 65 ...
##   .. .. .. .. ..- attr(*, "dimnames")=List of 2
##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. .. ..$ :List of 15
##   .. .. .. ..$ theta             : Named num [1:5] -4.7466 3.33 -0.0111 -0.0913 -0.2035
##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.88
##   .. .. .. ..$ log.posterior.orig: num -2.61
##   .. .. .. ..$ mean              : num [1:55729] -10.51 -5.41 59.88 63.91 -21.03 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.51 -5.41 59.88 63.91 -21.03 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
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##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0678 0.0334 0.0174 0.0133 0.0425 ...
##   .. .. .. .. .. ..@ factors : list()
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##   .. .. .. .. .. ..@ x       : num [1:135020] 198.4 242.4 78.1 195.1 25.2 ...
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##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.82
##   .. .. .. ..$ log.posterior.orig: num -2.55
##   .. .. .. ..$ mean              : num [1:55729] -10.24 -5.05 60.03 64.5 -20.73 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.24 -5.05 60.03 64.5 -20.73 ...
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##   .. .. .. .. .. ..@ x       : num [1:135020] 0.0758 0.0373 0.019 0.0148 0.0436 ...
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##   .. .. .. .. .. ..@ x       : num [1:135020] 184.5 226.7 74.4 180.1 24.7 ...
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##   .. .. .. ..$ Qprior            :Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
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##   .. .. .. ..$ Predictor         : num [1:55729, 1:2] 32.58 -10.24 -5.05 60.03 64.5 ...
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##   .. .. .. .. .. ..$ : NULL
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##   .. .. .. .. ..- attr(*, "names")= chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   .. .. .. ..$ log.posterior     : num -5.92
##   .. .. .. ..$ log.posterior.orig: num -2.66
##   .. .. .. ..$ mean              : num [1:55729] -10.39 -5.37 59.9 64.55 -20.68 ...
##   .. .. .. ..$ improved.mean     : num [1:55729] -10.39 -5.37 59.9 64.55 -20.68 ...
##   .. .. .. ..$ skewness          : logi [1:55729] NA NA NA NA NA NA ...
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##   .. .. .. .. .. ..@ x       : num [1:135020] 184.6 223.9 75.4 185.9 24.8 ...
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##   .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. ..$ : chr [1:2] "mean" "variance"
##   .. ..$ max.log.posterior: num -104770
##   ..$ nfunc                             : num 327
##   ..$ warnings                          : chr(0) 
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##   .. .. .. ..$ : chr [1:46] "iter1" "iter2" "iter3" "iter4" ...
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##   ..$ theta.mode                        : num [1:5] -4.7658 3.3332 0.0218 -0.0365 -0.1084
##   ..$ linkfunctions                     :List of 2
##   .. ..$ names: chr "identity"
##   .. ..$ link : int [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ family                            : int [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##  $ dic                        :List of 14
##   ..$ dic              : num 202687
##   ..$ p.eff            : num 6148
##   ..$ mean.deviance    : num 196540
##   ..$ deviance.mean    : num 190392
##   ..$ dic.sat          : num 31976
##   ..$ mean.deviance.sat: num 25828
##   ..$ deviance.mean.sat: num 19710
##   ..$ family.dic       : num 202687
##   ..$ family.dic.sat   : num 31945
##   ..$ family.p.eff     : num 6148
##   ..$ family           : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   ..$ local.dic        : num [1:25842] 7.39 7.24 7.49 6.98 7.2 ...
##   ..$ local.dic.sat    : num [1:25842] 0.777 0.627 0.875 0.376 0.594 ...
##   ..$ local.p.eff      : num [1:25842] 0.286 0.278 0.358 0.186 0.258 ...
##  $ mode                       :List of 5
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##   ..$ x                 : num [1:137300] 94.7 94.9 95.3 15.4 19.2 ...
##   ..$ theta.tags        : chr [1:5] "Log precision for the Gaussian observations" "Theta1 for field" "Theta2 for field" "Theta3 for field" ...
##   ..$ mode.status       : num 0
##   ..$ log.posterior.mode: num -104770
##  $ joint.hyper                :'data.frame': 26 obs. of  7 variables:
##   ..$ Log precision for the Gaussian observations : num [1:26] -4.77 -4.75 -4.78 -4.77 -4.77 ...
##   ..$ Theta1 for field                            : num [1:26] 3.33 3.32 3.35 3.33 3.33 ...
##   ..$ Theta2 for field                            : num [1:26] 0.0218 0.027 0.0159 0.0219 0.0218 ...
##   ..$ Theta3 for field                            : num [1:26] -0.0365 -0.0364 -0.0366 -0.0526 -0.0205 ...
##   ..$ Theta4 for field                            : num [1:26] -0.108 -0.109 -0.108 -0.101 -0.116 ...
##   ..$ Log posterior density                       : num [1:26] -104788 -104791 -104792 -104792 -104792 ...
##   ..$ Total integration weight (log.dens included): num [1:26] 0.0967 0.0212 0.0148 0.0165 0.016 ...
##  $ nhyper                     : int 5
##  $ version                    :List of 2
##   ..$ inla.call: chr "GITCOMMIT [b51fb385728e90bce98ca92b1d8762a2d13f655c - Sat May 18 13:21:08 2024 +0300]"
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##  $ Q                          : NULL
##  $ graph                      : NULL
##  $ ok                         : logi TRUE
##  $ cpu.intern                 : chr [1:16] "Wall-clock time used on [/tmp/RtmpPirrjQ/file34f03319461230/Model.ini]" "Preparations             :   0.238 seconds" "Approx inference (stage1):  33.225 seconds" "Approx inference (stage2):   0.001 seconds" ...
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##  $ .args                      :List of 30
##   ..$ formula          :Class 'formula'  language BRU.response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   ..$ family           : chr "gaussian"
##   ..$ data             :List of 16
##   .. ..$ BRU.response            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. ..$ BRU.E                   : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.Ntrials             : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.weights             : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.scale               : num [1:25842] 1 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU.offset              : num [1:25842] 0 0 0 0 0 0 0 0 0 0 ...
##   .. ..$ Intercept               : num [1:55729] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.group         : int [1:55729] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ Intercept.repl          : int [1:55729] 1 NA NA NA NA NA NA NA NA NA ...
##   .. ..$ field                   : int [1:55729] NA 1 2 3 4 5 6 7 8 9 ...
##   .. ..$ field.group             : int [1:55729] NA 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ field.repl              : int [1:55729] NA 1 1 1 1 1 1 1 1 1 ...
##   .. ..$ BRU_Intercept_main_model: chr "linear"
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##   .. ..$ BRU_field_main_model    :List of 21
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##   .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
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##   .. .. .. .. ..$ debug: logi FALSE
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##   .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. ..$ alpha      : int 1
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##   .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
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##   .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
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##   .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
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##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
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##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
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##     VtEfirst: function () 
##   Private:
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##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
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##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
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##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
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##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
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##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
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##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
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##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
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##   .. ..$ numint.abserr                     : num 1e-06
##   .. ..$ cmin                              : num -Inf
##   .. ..$ b.strategy                        : chr "keep"
##   .. ..$ step.factor                       : num -0.1
##   .. ..$ global.node.factor                : num 2
##   .. ..$ global.node.degree                : int 2147483647
##   .. ..$ stupid.search                     : logi TRUE
##   .. ..$ stupid.search.max.iter            : int 1000
##   .. ..$ stupid.search.factor              : num 1.05
##   .. ..$ control.vb                        :List of 8
##   .. .. ..$ enable          : chr "auto"
##   .. .. ..$ strategy        : chr [1:2] "mean" "variance"
##   .. .. ..$ verbose         : logi TRUE
##   .. .. ..$ iter.max        : num 25
##   .. .. ..$ emergency       : num 25
##   .. .. ..$ f.enable.limit  : num [1:4] 30 25 1024 768
##   .. .. ..$ hessian.update  : num 2
##   .. .. ..$ hessian.strategy: chr [1:4] "default" "full" "partial" "diagonal"
##   .. .. ..- attr(*, "class")= chr [1:2] "ctrl_vb" "inla_ctrl_object"
##   .. ..$ num.gradient                      : chr "central"
##   .. ..$ num.hessian                       : chr "central"
##   .. ..$ optimise.strategy                 : chr "smart"
##   .. ..$ use.directions                    : logi TRUE
##   .. ..$ constr.marginal.diagonal          : num 1.49e-08
##   .. ..$ improved.simplified.laplace       : logi FALSE
##   .. ..$ parallel.linesearch               : logi FALSE
##   .. ..$ compute.initial.values            : logi TRUE
##   .. ..$ hessian.correct.skewness.only     : logi TRUE
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_inla" "inla_ctrl_object"
##   ..$ control.fixed    :List of 10
##   .. ..$ cdf                   : NULL
##   .. ..$ quantiles             : NULL
##   .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ mean                  : num 0
##   .. ..$ mean.intercept        : num 0
##   .. ..$ prec                  : num 0.001
##   .. ..$ prec.intercept        : num 0
##   .. ..$ compute               : logi TRUE
##   .. ..$ correlation.matrix    : logi FALSE
##   .. ..$ remove.names          : NULL
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_fixed" "inla_ctrl_object"
##   ..$ control.mode     :List of 5
##   .. ..$ result : NULL
##   .. ..$ theta  : NULL
##   .. ..$ x      : NULL
##   .. ..$ restart: logi FALSE
##   .. ..$ fixed  : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_mode" "inla_ctrl_object"
##   ..$ control.expert   :List of 6
##   .. ..$ cpo.manual            : logi FALSE
##   .. ..$ cpo.idx               : num -1
##   .. ..$ disable.gaussian.check: logi FALSE
##   .. ..$ jp                    : NULL
##   .. ..$ dot.product.gain      : logi FALSE
##   .. ..$ globalconstr          :List of 2
##   .. .. ..$ A: NULL
##   .. .. ..$ e: NULL
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_expert" "inla_ctrl_object"
##   ..$ control.lincomb  :List of 1
##   .. ..$ verbose: logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_lincomb" "inla_ctrl_object"
##   ..$ control.update   :List of 1
##   .. ..$ result: NULL
##   .. ..- attr(*, "class")= chr [1:2] "ctrl_update" "inla_ctrl_object"
##   ..$ control.lp.scale :List of 1
##   .. ..$ hyper:List of 100
##   .. .. ..$ theta1  :List of 11
##   .. .. .. ..$ hyperid           : num 103001
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta1"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b1"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[1] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[1] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta2  :List of 11
##   .. .. .. ..$ hyperid           : num 103002
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta2"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b2"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[2] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[2] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta3  :List of 11
##   .. .. .. ..$ hyperid           : num 103003
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta3"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b3"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[3] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[3] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta4  :List of 11
##   .. .. .. ..$ hyperid           : num 103004
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b4"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[4] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta5  :List of 11
##   .. .. .. ..$ hyperid           : num 103005
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta5"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b5"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[5] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[5] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta6  :List of 11
##   .. .. .. ..$ hyperid           : num 103006
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta6"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b6"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[6] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[6] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta7  :List of 11
##   .. .. .. ..$ hyperid           : num 103007
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta7"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b7"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[7] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[7] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta8  :List of 11
##   .. .. .. ..$ hyperid           : num 103008
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta8"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b8"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[8] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[8] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta9  :List of 11
##   .. .. .. ..$ hyperid           : num 103009
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b9"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[9] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta10 :List of 11
##   .. .. .. ..$ hyperid           : num 103010
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b10"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[10] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta11 :List of 11
##   .. .. .. ..$ hyperid           : num 103011
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b11"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[11] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta12 :List of 11
##   .. .. .. ..$ hyperid           : num 103012
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b12"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[12] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta13 :List of 11
##   .. .. .. ..$ hyperid           : num 103013
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b13"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[13] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta14 :List of 11
##   .. .. .. ..$ hyperid           : num 103014
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b14"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[14] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta15 :List of 11
##   .. .. .. ..$ hyperid           : num 103015
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b15"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[15] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta16 :List of 11
##   .. .. .. ..$ hyperid           : num 103016
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b16"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[16] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta17 :List of 11
##   .. .. .. ..$ hyperid           : num 103017
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b17"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[17] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta18 :List of 11
##   .. .. .. ..$ hyperid           : num 103018
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b18"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[18] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta19 :List of 11
##   .. .. .. ..$ hyperid           : num 103019
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b19"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[19] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta20 :List of 11
##   .. .. .. ..$ hyperid           : num 103020
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b20"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[20] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta21 :List of 11
##   .. .. .. ..$ hyperid           : num 103021
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b21"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[21] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta22 :List of 11
##   .. .. .. ..$ hyperid           : num 103022
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b22"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[22] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta23 :List of 11
##   .. .. .. ..$ hyperid           : num 103023
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b23"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[23] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta24 :List of 11
##   .. .. .. ..$ hyperid           : num 103024
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b24"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[24] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta25 :List of 11
##   .. .. .. ..$ hyperid           : num 103025
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b25"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[25] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta26 :List of 11
##   .. .. .. ..$ hyperid           : num 103026
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b26"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[26] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta27 :List of 11
##   .. .. .. ..$ hyperid           : num 103027
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b27"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[27] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta28 :List of 11
##   .. .. .. ..$ hyperid           : num 103028
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b28"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[28] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta29 :List of 11
##   .. .. .. ..$ hyperid           : num 103029
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b29"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[29] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta30 :List of 11
##   .. .. .. ..$ hyperid           : num 103030
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b30"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[30] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta31 :List of 11
##   .. .. .. ..$ hyperid           : num 103031
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b31"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[31] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta32 :List of 11
##   .. .. .. ..$ hyperid           : num 103032
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b32"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[32] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta33 :List of 11
##   .. .. .. ..$ hyperid           : num 103033
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b33"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[33] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta34 :List of 11
##   .. .. .. ..$ hyperid           : num 103034
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b34"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[34] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta35 :List of 11
##   .. .. .. ..$ hyperid           : num 103035
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b35"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[35] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta36 :List of 11
##   .. .. .. ..$ hyperid           : num 103036
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b36"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[36] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta37 :List of 11
##   .. .. .. ..$ hyperid           : num 103037
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b37"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[37] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta38 :List of 11
##   .. .. .. ..$ hyperid           : num 103038
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b38"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[38] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta39 :List of 11
##   .. .. .. ..$ hyperid           : num 103039
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b39"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[39] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta40 :List of 11
##   .. .. .. ..$ hyperid           : num 103040
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b40"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[40] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta41 :List of 11
##   .. .. .. ..$ hyperid           : num 103041
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b41"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[41] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta42 :List of 11
##   .. .. .. ..$ hyperid           : num 103042
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b42"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[42] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta43 :List of 11
##   .. .. .. ..$ hyperid           : num 103043
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b43"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[43] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta44 :List of 11
##   .. .. .. ..$ hyperid           : num 103044
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b44"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[44] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta45 :List of 11
##   .. .. .. ..$ hyperid           : num 103045
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b45"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[45] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta46 :List of 11
##   .. .. .. ..$ hyperid           : num 103046
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b46"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[46] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta47 :List of 11
##   .. .. .. ..$ hyperid           : num 103047
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b47"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[47] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta48 :List of 11
##   .. .. .. ..$ hyperid           : num 103048
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b48"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[48] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta49 :List of 11
##   .. .. .. ..$ hyperid           : num 103049
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b49"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[49] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta50 :List of 11
##   .. .. .. ..$ hyperid           : num 103050
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b50"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[50] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta51 :List of 11
##   .. .. .. ..$ hyperid           : num 103051
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b51"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[51] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta52 :List of 11
##   .. .. .. ..$ hyperid           : num 103052
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b52"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[52] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta53 :List of 11
##   .. .. .. ..$ hyperid           : num 103053
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b53"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[53] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta54 :List of 11
##   .. .. .. ..$ hyperid           : num 103054
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b54"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[54] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta55 :List of 11
##   .. .. .. ..$ hyperid           : num 103055
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b55"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[55] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta56 :List of 11
##   .. .. .. ..$ hyperid           : num 103056
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b56"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[56] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta57 :List of 11
##   .. .. .. ..$ hyperid           : num 103057
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b57"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[57] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta58 :List of 11
##   .. .. .. ..$ hyperid           : num 103058
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b58"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[58] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta59 :List of 11
##   .. .. .. ..$ hyperid           : num 103059
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b59"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[59] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta60 :List of 11
##   .. .. .. ..$ hyperid           : num 103060
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b60"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[60] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta61 :List of 11
##   .. .. .. ..$ hyperid           : num 103061
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b61"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[61] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta62 :List of 11
##   .. .. .. ..$ hyperid           : num 103062
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b62"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[62] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta63 :List of 11
##   .. .. .. ..$ hyperid           : num 103063
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b63"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[63] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta64 :List of 11
##   .. .. .. ..$ hyperid           : num 103064
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b64"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[64] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta65 :List of 11
##   .. .. .. ..$ hyperid           : num 103065
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b65"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[65] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta66 :List of 11
##   .. .. .. ..$ hyperid           : num 103066
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b66"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[66] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta67 :List of 11
##   .. .. .. ..$ hyperid           : num 103067
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b67"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[67] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta68 :List of 11
##   .. .. .. ..$ hyperid           : num 103068
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b68"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[68] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta69 :List of 11
##   .. .. .. ..$ hyperid           : num 103069
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b69"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[69] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta70 :List of 11
##   .. .. .. ..$ hyperid           : num 103070
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b70"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[70] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta71 :List of 11
##   .. .. .. ..$ hyperid           : num 103071
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b71"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[71] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta72 :List of 11
##   .. .. .. ..$ hyperid           : num 103072
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b72"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[72] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta73 :List of 11
##   .. .. .. ..$ hyperid           : num 103073
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b73"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[73] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta74 :List of 11
##   .. .. .. ..$ hyperid           : num 103074
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b74"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[74] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta75 :List of 11
##   .. .. .. ..$ hyperid           : num 103075
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b75"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[75] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta76 :List of 11
##   .. .. .. ..$ hyperid           : num 103076
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b76"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[76] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta77 :List of 11
##   .. .. .. ..$ hyperid           : num 103077
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b77"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[77] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta78 :List of 11
##   .. .. .. ..$ hyperid           : num 103078
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b78"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[78] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta79 :List of 11
##   .. .. .. ..$ hyperid           : num 103079
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b79"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[79] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta80 :List of 11
##   .. .. .. ..$ hyperid           : num 103080
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b80"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[80] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta81 :List of 11
##   .. .. .. ..$ hyperid           : num 103081
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b81"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[81] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta82 :List of 11
##   .. .. .. ..$ hyperid           : num 103082
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b82"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[82] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta83 :List of 11
##   .. .. .. ..$ hyperid           : num 103083
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b83"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[83] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta84 :List of 11
##   .. .. .. ..$ hyperid           : num 103084
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b84"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[84] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta85 :List of 11
##   .. .. .. ..$ hyperid           : num 103085
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b85"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[85] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta86 :List of 11
##   .. .. .. ..$ hyperid           : num 103086
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b86"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[86] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta87 :List of 11
##   .. .. .. ..$ hyperid           : num 103087
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b87"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[87] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta88 :List of 11
##   .. .. .. ..$ hyperid           : num 103088
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b88"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[88] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta89 :List of 11
##   .. .. .. ..$ hyperid           : num 103089
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b89"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[89] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta90 :List of 11
##   .. .. .. ..$ hyperid           : num 103090
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b90"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[90] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta91 :List of 11
##   .. .. .. ..$ hyperid           : num 103091
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b91"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[91] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta92 :List of 11
##   .. .. .. ..$ hyperid           : num 103092
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta92"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b92"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[92] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[92] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta93 :List of 11
##   .. .. .. ..$ hyperid           : num 103093
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta93"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b93"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[93] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[93] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta94 :List of 11
##   .. .. .. ..$ hyperid           : num 103094
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta94"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b94"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[94] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[94] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta95 :List of 11
##   .. .. .. ..$ hyperid           : num 103095
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta95"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b95"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[95] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[95] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta96 :List of 11
##   .. .. .. ..$ hyperid           : num 103096
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta96"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ short.name        : chr "b96"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name       : chr "beta[96] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ output.name.intern: chr "beta[96] for lp_scale"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ initial           : num 1
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ fixed             : logi FALSE
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ prior             : chr "normal"
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ param             : num [1:2] 1 10
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ to.theta          :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. .. ..$ from.theta        :function (x)  
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi TRUE
##   .. .. ..$ theta97 :List of 11
##   .. .. .. ..$ hyperid           : num 103097
##   .. .. .. .. ..- attr(*, "inla.read.only")= logi FALSE
##   .. .. .. ..$ name              : chr "beta97"
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##   .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. ..$ model         :List of 21
##   .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. ..$ alpha      : int 1
##   .. .. .. .. .. .. .. .. ..$ doubles   :List of 2
##   .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. .. .. .. ..$ characters:List of 3
##   .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. ..$ matrices  :List of 3
##   .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. ..$ start.theta         : num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. ..$ type          : chr "cgeneric"
##   .. .. .. .. ..$ n             : num 13932
##   .. .. .. .. ..$ values        : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ group       :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : int 1
##   .. .. .. .. .. ..$ label   : chr "field.group"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 1
##   .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "exchangeable"
##   .. .. .. .. ..$ type          : chr "exchangeable"
##   .. .. .. .. ..$ n             : num 1
##   .. .. .. .. ..$ values        : int 1
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ replicate   :List of 8
##   .. .. .. .. ..$ input         :List of 4
##   .. .. .. .. .. ..$ input   : language data_rspde_bru_nonstat[["repl"]]
##   .. .. .. .. .. ..$ label   : chr "field.repl"
##   .. .. .. .. .. ..$ layer   : NULL
##   .. .. .. .. .. ..$ selector: NULL
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_input" "list"
##   .. .. .. .. ..$ mapper        :List of 4
##   .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. ..$ model         : chr "iid"
##   .. .. .. .. ..$ type          : chr "iid"
##   .. .. .. .. ..$ n             : int 4
##   .. .. .. .. ..$ values        : int [1:4] 1 2 3 4
##   .. .. .. .. ..$ season.length : NULL
##   .. .. .. .. ..$ factor_mapping: NULL
##   .. .. .. .. ..- attr(*, "class")= chr [1:2] "bru_subcomponent" "list"
##   .. .. .. ..$ weights     : NULL
##   .. .. .. ..$ copy        : NULL
##   .. .. .. ..$ marginal    : NULL
##   .. .. .. ..$ env         :<environment: R_GlobalEnv> 
##   .. .. .. ..$ env_extra   :<environment: 0x5caa8ae98b80> 
##   .. .. .. ..$ fcall       : language "f"(field, model = BRU_field_main_model, replicate = field.repl, ngroup = 1,      nrep = 4L, values = BRU_field_values)
##   .. .. .. ..$ mapper      :List of 6
##   .. .. .. .. ..$ mappers  :List of 2
##   .. .. .. .. .. ..$ mapper:List of 9
##   .. .. .. .. .. .. ..$ mappers          :List of 3
##   .. .. .. .. .. .. .. ..$ main     :List of 1
##   .. .. .. .. .. .. .. .. ..$ model:List of 21
##   .. .. .. .. .. .. .. .. .. ..$ f                   :List of 3
##   .. .. .. .. .. .. .. .. .. .. ..$ model   : chr "cgeneric"
##   .. .. .. .. .. .. .. .. .. .. ..$ n       : int 13932
##   .. .. .. .. .. .. .. .. .. .. ..$ cgeneric:List of 5
##   .. .. .. .. .. .. .. .. .. .. .. ..$ model: chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ shlib: chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. ..$ n    : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. ..$ debug: logi FALSE
##   .. .. .. .. .. .. .. .. .. .. .. ..$ data :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ ints      :List of 5
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ n          : int 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ debug      : int 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_i: int [1:29068] 0 0 0 0 1 1 1 1 1 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ graph_opt_j: int [1:29068] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ alpha      : int 1
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ doubles   :List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ start.theta     : num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean: num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ characters:List of 3
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ model            : chr "inla_cgeneric_rspde_nonstat_int_model"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ shlib            : chr "/home/rierasl/R/x86_64-pc-linux-gnu-library/4.4/INLA/bin/linux/64bit/external/rSPDE/librSPDE.so"
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ prior.theta.param: chr "theta"
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ matrices  :List of 3
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ B_tau           : num [1:69662] 13932 5 -0.693 -1 0.5 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ B_kappa         : num [1:69662] 13932 5 0.693 0 -1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec: num [1:18] 4 4 0.1 0 0 0 0 0.1 0 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..$ smatrices :List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ C: num [1:41799] 13932 13932 13932 0 1 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ G: num [1:132615] 13932 13932 44204 0 5681 ...
##   .. .. .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr "inla.cgeneric"
##   .. .. .. .. .. .. .. .. .. ..$ cgeneric_type       : chr "int_alpha"
##   .. .. .. .. .. .. .. .. .. ..$ nu                  : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.mean    : num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ loglocation: num -5e-06
##   .. .. .. .. .. .. .. .. .. .. ..$ mean       : num 1
##   .. .. .. .. .. .. .. .. .. .. ..$ prec       : num 3
##   .. .. .. .. .. .. .. .. .. .. ..$ logscale   : num 1
##   .. .. .. .. .. .. .. .. .. ..$ theta.prior.prec    : num [1:4, 1:4] 0.1 0 0 0 0 0.1 0 0 0 0 ...
##   .. .. .. .. .. .. .. .. .. ..$ start.nu            : num 0.5
##   .. .. .. .. .. .. .. .. .. ..$ integer.nu          : logi TRUE
##   .. .. .. .. .. .. .. .. .. ..$ start.theta         : num [1:4] 3.34 0.045 0 0
##   .. .. .. .. .. .. .. .. .. ..$ stationary          : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ rspde.order         : num 2
##   .. .. .. .. .. .. .. .. .. ..$ dim                 : num 1
##   .. .. .. .. .. .. .. .. .. ..$ est_nu              : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ nu.upper.bound      : num 2
##   .. .. .. .. .. .. .. .. .. ..$ prior.nu.dist       : chr "lognormal"
##   .. .. .. .. .. .. .. .. .. ..$ debug               : logi FALSE
##   .. .. .. .. .. .. .. .. .. ..$ type.rational.approx: chr "chebfun"
##   .. .. .. .. .. .. .. .. .. ..$ mesh                :Classes 'metric_graph', 'R6' <metric_graph>
##   Public:
##     add_mesh_observations: function (data = NULL, group = NULL) 
##     add_observations: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     build_mesh: function (h = NULL, n = NULL, continuous = TRUE, continuous.outs = FALSE, 
##     buildC: function (alpha = 2, edge_constraint = FALSE) 
##     buildDirectionalConstraints: function (alpha = 1) 
##     C: NULL
##     characteristics: list
##     check_distance_consistency: function () 
##     check_euclidean: function () 
##     clear_observations: function () 
##     clone: function (deep = FALSE) 
##     CoB: NULL
##     compute_characteristics: function (check_euclidean = FALSE) 
##     compute_fem: function (petrov = FALSE) 
##     compute_geodist: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_geodist_mesh: function () 
##     compute_geodist_PtE: function (PtE, normalized = TRUE, include_vertices = TRUE, verbose = 0) 
##     compute_laplacian: function (full = FALSE, obs = TRUE, group = NULL, verbose = 0) 
##     compute_PtE_edges: function () 
##     compute_resdist: function (full = FALSE, obs = TRUE, group = NULL, check_euclidean = FALSE, 
##     compute_resdist_mesh: function () 
##     compute_resdist_PtE: function (PtE, normalized = TRUE, include_vertices = FALSE, check_euclidean = FALSE, 
##     coordinates: function (PtE = NULL, XY = NULL, normalized = TRUE) 
##     drop_na: function (...) 
##     E: 1 3 5 7 9 9 10 12 13 14 15 12 18 19 21 20 22 24 26 28 30 ...
##     edge_lengths: 0.0820202978316493 0.13610246403764 0.07378151878521 0.0 ...
##     edges: metric_graph_edges
##     edgeweight_to_data: function (loc = NULL, mesh = FALSE, data_loc = FALSE, weight_col = NULL, 
##     fem_basis: function (PtE) 
##     filter: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     geo_dist: list
##     get_data: function (group = NULL, tibble = TRUE, drop_na = FALSE, drop_all_na = TRUE) 
##     get_degrees: function (which = "degree") 
##     get_edge_lengths: function (unit = NULL) 
##     get_edge_weights: function (data.frame = FALSE, tibble = TRUE) 
##     get_groups: function (get_cols = FALSE) 
##     get_initial_graph: function () 
##     get_locations: function () 
##     get_mesh_locations: function (bru = FALSE, loc = NULL, normalized = TRUE) 
##     get_PtE: function () 
##     get_vertices_incomp_dir: function () 
##     initialize: function (edges = NULL, V = NULL, E = NULL, vertex_unit = NULL, 
##     is_tree: function () 
##     Laplacian: NULL
##     mesh: list
##     mesh_A: function (PtE) 
##     mutate: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     nE: 11104
##     nV: 8781
##     observation_to_vertex: function (tolerance = 1e-15, mesh_warning = TRUE) 
##     plot: function (data = NULL, newdata = NULL, group = 1, plotly = FALSE, 
##     plot_connections: function () 
##     plot_function: function (data = NULL, newdata = NULL, group = 1, X = NULL, plotly = FALSE, 
##     plot_movie: function (X, plotly = TRUE, vertex_size = 5, vertex_color = "black", 
##     print: function () 
##     process_data: function (data = NULL, edge_number = "edge_number", distance_on_edge = "distance_on_edge", 
##     prune_vertices: function (check_weights = TRUE, verbose = FALSE) 
##     PtV: NULL
##     res_dist: NULL
##     select: function (..., .drop_na = FALSE, .drop_all_na = TRUE) 
##     set_edge_weights: function (weights = rep(1, self$nE), kirchhoff_weights = NULL) 
##     summarise: function (..., .include_graph_groups = FALSE, .groups = NULL, 
##     summary: function (messages = FALSE, compute_characteristics = TRUE, check_euclidean = TRUE, 
##     V: -122.40171 -122.40078 -122.44449 -122.44331 -122.41216 - ...
##     vertices: metric_graph_vertices
##     VtEfirst: function () 
##   Private:
##     A: function (group = NULL, obs_to_vert = FALSE, drop_na = FALSE, 
##     add_vertices: function (PtE, tolerance = 1e-10, verbose) 
##     addinfo: FALSE
##     clear_initial_info: function () 
##     compute_degrees: function () 
##     compute_laplacian_PtE: function (PtE, normalized = TRUE, verbose = verbose) 
##     compute_lengths: function (longlat, unit, crs, proj4string, which_longlat, vertex_unit, 
##     connected: TRUE
##     coordinates_multiple_snaps: function (XY, tolerance, verbose = verbose, crs, proj4string, 
##     create_update_vertices: function () 
##     crs: crs
##     data: metric_graph_data, list
##     edge_weights: tbl_df, tbl, data.frame
##     find_edge_edge_points: function (tol, verbose, crs, proj4string, longlat, fact, which_longlat) 
##     find_mesh_bc: function () 
##     get_edge_weights_internal: function (data.frame = FALSE) 
##     group_col: .group
##     initial_edges_added: NULL
##     initial_graph: metric_graph, R6
##     kirchhoff_weights: NULL
##     length_unit: km
##     line_to_vertex: function (tolerance = 0, longlat = FALSE, fact, verbose, crs, 
##     longlat: TRUE
##     merge_close_vertices: function (tolerance, fact) 
##     merge.all.deg2: function () 
##     mesh_merge_deg2: function () 
##     mesh_merge_outs: function () 
##     move_V_first: function () 
##     plot_2d: function (line_width = 0.1, marker_size = 1, vertex_color = "black", 
##     plot_3d: function (line_width = 1, marker_size = 1, vertex_color = "rgb(0,0,0)", 
##     proj4string: NULL
##     prune_warning: FALSE
##     pruned: FALSE
##     PtE_to_mesh: function (PtE) 
##     ref_edges: 1 5502 2 359 3 4077 4 5117 5 7 5419 8 9 10 11 4817 4613  ...
##     remove_circles: function (threshold, verbose, longlat, unit, crs, proj4string, 
##     remove.first.deg2: function (res) 
##     set_first_weights: function (weights = rep(1, self$nE)) 
##     set_petrov_matrices: function () 
##     split_edge: function (Ei, t, tolerance = 0) 
##     temp_PtE: NULL
##     tolerance: list
##     transform: FALSE
##     vertex_unit: degrees
##     which_longlat: sf 
##   .. .. .. .. .. .. .. .. .. ..$ fem_mesh            :List of 4
##   .. .. .. .. .. .. .. .. .. .. ..$ c0:Formal class 'dgTMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ j       : int [1:13932] 0 1 2 3 4 5 6 7 8 9 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:13932] 0.0534 0.0776 0.0408 0.0457 0.0367 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g1:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:44204] 0 5681 8781 11463 1 8781 11429 11463 13882 2 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 4 9 12 15 18 23 26 29 34 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:44204] 210.6 -161.9 -24.4 -24.4 103.4 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g2:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:81554] 0 1 5399 5681 8781 11463 0 1 4450 8781 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 6 13 18 23 28 37 42 47 56 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:81554] 1731368 28997 607384 -2117274 -125237 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. .. ..$ g3:Formal class 'dgCMatrix' [package "Matrix"] with 6 slots
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ i       : int [1:124984] 0 1 805 5399 5681 8781 11429 11463 13882 0 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ p       : int [1:13933] 0 9 18 25 32 43 56 65 72 85 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dim     : int [1:2] 13932 13932
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ Dimnames:List of 2
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. .. ..$ : NULL
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ x       : num [1:124984] 1.84e+10 1.88e+08 -4.79e+08 9.57e+09 -2.57e+10 ...
##   .. .. .. .. .. .. .. .. .. .. .. .. ..@ factors : list()
##   .. .. .. .. .. .. .. .. .. ..$ parameterization    : chr "matern"
##   .. .. .. .. .. .. .. .. .. ..$ n.spde              : int 13932
##   .. .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "rspde_metric_graph" "inla_rspde" "inla.cgeneric"
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_inla_rspde" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ group    :List of 1
##   .. .. .. .. .. .. .. .. ..$ n: num 1
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_index" "bru_mapper" "list"
##   .. .. .. .. .. .. .. ..$ replicate:List of 4
##   .. .. .. .. .. .. .. .. ..$ levels        : chr [1:4] "1" "2" "3" "4"
##   .. .. .. .. .. .. .. .. ..$ factor_mapping: chr "full"
##   .. .. .. .. .. .. .. .. ..$ indexed       : logi TRUE
##   .. .. .. .. .. .. .. .. ..$ n             : int 4
##   .. .. .. .. .. .. .. .. ..- attr(*, "class")= chr [1:4] "bru_mapper_factor_index" "bru_mapper_factor" "bru_mapper" "list"
##   .. .. .. .. .. .. ..$ n_multi          :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ n_inla_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : num 13932
##   .. .. .. .. .. .. .. ..$ group    : num 1
##   .. .. .. .. .. .. .. ..$ replicate: int 4
##   .. .. .. .. .. .. ..$ values_multi     :List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ values_inla_multi:List of 3
##   .. .. .. .. .. .. .. ..$ main     : int [1:13932] 1 2 3 4 5 6 7 8 9 10 ...
##   .. .. .. .. .. .. .. ..$ group    : int 1
##   .. .. .. .. .. .. .. ..$ replicate: int [1:4] 1 2 3 4
##   .. .. .. .. .. .. ..$ is_linear_multi  :List of 3
##   .. .. .. .. .. .. .. ..$ main     : logi TRUE
##   .. .. .. .. .. .. .. ..$ group    : logi TRUE
##   .. .. .. .. .. .. .. ..$ replicate: logi TRUE
##   .. .. .. .. .. .. ..$ n                : num 55728
##   .. .. .. .. .. .. ..$ n_inla           : num 55728
##   .. .. .. .. .. .. ..$ is_linear        : logi TRUE
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_multi" "bru_mapper" "list"
##   .. .. .. .. .. ..$ scale : list()
##   .. .. .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_scale" "bru_mapper" "list"
##   .. .. .. .. ..$          : Named logi [1:2] TRUE TRUE
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ is_linear: logi TRUE
##   .. .. .. .. ..$ n_multi  : Named int [1:2] 55728 NA
##   .. .. .. .. .. ..- attr(*, "names")= chr [1:2] "mapper" "scale"
##   .. .. .. .. ..$ n        : num 55728
##   .. .. .. .. ..$ names    : chr [1:2] "mapper" "scale"
##   .. .. .. .. ..- attr(*, "class")= chr [1:3] "bru_mapper_pipe" "bru_mapper" "list"
##   .. .. .. ..- attr(*, "class")= chr [1:2] "component" "list"
##   .. .. ..- attr(*, "class")= chr [1:2] "component_list" "list"
##   .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..$ formula:Class 'formula'  language BRU_response ~ f(Intercept, model = BRU_Intercept_main_model, ngroup = 1,      nrep = 1, values = BRU_Intercept_v| __truncated__ ...
##   .. .. .. ..- attr(*, ".Environment")=<environment: R_GlobalEnv> 
##   .. ..- attr(*, "class")= chr [1:2] "bru_model" "list"
##   ..$ lhoods         :List of 1
##   .. ..$ :List of 17
##   .. .. ..$ family        : chr "gaussian"
##   .. .. ..$ formula       :Class 'formula'  language speed ~ .
##   .. .. .. .. ..- attr(*, ".Environment")=<environment: 0x5caa7dbbb380> 
##   .. .. ..$ response_data :List of 4
##   .. .. .. ..$ BRU_response: num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ BRU_E       : num 1
##   .. .. .. ..$ BRU_Ntrials : num 1
##   .. .. .. ..$ BRU_scale   : num 1
##   .. .. ..$ data          :List of 8
##   .. .. .. ..$ speed            : num [1:25842] 99.8 91.7 99.8 14.5 16.1 ...
##   .. .. .. ..$ SpeedLimit       : num [1:25842] 4.09 4.09 4.09 -1.04 -1.04 ...
##   .. .. .. ..$ .coord_x         : num [1:25842] -122 -122 -122 -122 -122 ...
##   .. .. .. ..$ .coord_y         : num [1:25842] 37.7 37.7 37.7 37.8 37.8 ...
##   .. .. .. ..$ .edge_number     : num [1:25842] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..$ .distance_on_edge: num [1:25842] 0.195 0.227 0.363 0.309 0.583 ...
##   .. .. .. ..$ .group           : chr [1:25842] "1" "1" "1" "1" ...
##   .. .. .. ..$ loc              : num [1:25842, 1:2] 2 2 2 3 3 3 5 6 6 6 ...
##   .. .. .. ..- attr(*, "class")= chr [1:2] "metric_graph_data" "list"
##   .. .. ..$ E             : num 1
##   .. .. ..$ Ntrials       : num 1
##   .. .. ..$ weights       : num 1
##   .. .. ..$ scale         : num 1
##   .. .. ..$ samplers      : NULL
##   .. .. ..$ linear        : logi TRUE
##   .. .. ..$ expr          : NULL
##   .. .. ..$ response      : chr "BRU_response"
##   .. .. ..$ inla.family   : chr "gaussian"
##   .. .. ..$ domain        : NULL
##   .. .. ..$ used          :List of 2
##   .. .. .. ..$ effect: chr [1:2] "Intercept" "field"
##   .. .. .. ..$ latent: chr(0) 
##   .. .. .. ..- attr(*, "class")= chr "bru_used"
##   .. .. ..$ allow_combine : logi TRUE
##   .. .. ..$ control.family: NULL
##   .. .. ..- attr(*, "class")= chr [1:2] "bru_like" "list"
##   .. ..- attr(*, "class")= chr [1:2] "bru_like_list" "list"
##   ..$ options        :List of 14
##   .. ..$ bru_verbose      : num 0
##   .. ..$ bru_verbose_store: num Inf
##   .. ..$ bru_max_iter     : num 1
##   .. ..$ bru_run          : logi TRUE
##   .. ..$ bru_int_args     :List of 3
##   .. .. ..$ method: chr "stable"
##   .. .. ..$ nsub1 : num 30
##   .. .. ..$ nsub2 : num 9
##   .. ..$ bru_method       :List of 6
##   .. .. ..$ taylor         : chr "pandemic"
##   .. .. ..$ search         : chr "all"
##   .. .. ..$ factor         : num 1.62
##   .. .. ..$ rel_tol        : num 0.1
##   .. .. ..$ max_step       : num 2
##   .. .. ..$ line_opt_method: chr "onestep"
##   .. ..$ bru_compress_cp  : logi TRUE
##   .. ..$ bru_debug        : logi FALSE
##   .. ..$ E                : num 1
##   .. ..$ Ntrials          : num 1
##   .. ..$ control.compute  :List of 3
##   .. .. ..$ config: logi TRUE
##   .. .. ..$ dic   : logi TRUE
##   .. .. ..$ waic  : logi TRUE
##   .. ..$ control.inla     :List of 1
##   .. .. ..$ int.strategy: chr "auto"
##   .. ..$ control.fixed    :List of 1
##   .. .. ..$ expand.factor.strategy: chr "inla"
##   .. ..$ verbose          : logi FALSE
##   .. ..- attr(*, "class")= chr [1:2] "bru_options" "list"
##   ..$ inlabru_version: Named chr "2.10.1.9007"
##   .. ..- attr(*, "names")= chr "version"
##   ..$ INLA_version   : Named chr "24.05.18-2"
##   .. ..- attr(*, "names")= chr "version"
##   ..- attr(*, "class")= chr [1:2] "bru_info" "list"
##  - attr(*, "class")= chr [1:3] "bru" "iinla" "inla"
nonstat.time.fin <- Sys.time()
print(nonstat.time.fin - nonstat.time.ini)
## Time difference of 3.299318 mins
summary(rspde_fit_nonstat)
## inlabru version: 2.10.1.9007
## INLA version: 24.05.18-2
## Components:
## Intercept: main = linear(1), group = exchangeable(1L), replicate = iid(1L)
## field: main = cgeneric(loc), group = exchangeable(1L), replicate = iid(data_rspde_bru_nonstat[["repl"]])
## Likelihoods:
##   Family: 'gaussian'
##     Data class: 'metric_graph_data', 'list'
##     Predictor: speed ~ .
## Time used:
##     Pre = 0.882, Running = 72.3, Post = 3.23, Total = 76.4 
## Fixed effects:
##             mean    sd 0.025quant 0.5quant 0.975quant   mode kld
## Intercept 32.579 0.696     31.216   32.578     33.949 32.578   0
## 
## Random effects:
##   Name     Model
##     field CGeneric
## 
## Model hyperparameters:
##                                           mean    sd 0.025quant 0.5quant
## Precision for the Gaussian observations  0.008 0.000      0.008    0.009
## Theta1 for field                         3.349 0.022      3.314    3.347
## Theta2 for field                         0.098 0.080     -0.016    0.086
## Theta3 for field                        -0.032 0.047     -0.122   -0.033
## Theta4 for field                        -0.100 0.096     -0.284   -0.101
##                                         0.975quant   mode
## Precision for the Gaussian observations      0.009  0.009
## Theta1 for field                             3.400  3.335
## Theta2 for field                             0.284  0.028
## Theta3 for field                             0.062 -0.036
## Theta4 for field                             0.094 -0.108
## 
## Deviance Information Criterion (DIC) ...............: 202687.46
## Deviance Information Criterion (DIC, saturated) ....: 31975.53
## Effective number of parameters .....................: 6147.88
## 
## Watanabe-Akaike information criterion (WAIC) ...: 203105.86
## Effective number of parameters .................: 5393.97
## 
## Marginal log-Likelihood:  -104783.84 
##  is computed 
## Posterior summaries for the linear predictor and the fitted values are computed
## (Posterior marginals needs also 'control.compute=list(return.marginals.predictor=TRUE)')
summary(rspde.result(rspde_fit_nonstat, "field", rspde_model_nonstat))
##                     mean        sd 0.025quant   0.5quant 0.975quant       mode
## Theta1.matern  3.3493700 0.0224220  3.3140400  3.3470100  3.4003900  3.3346100
## Theta2.matern  0.0977942 0.0797945 -0.0161301  0.0863962  0.2844360  0.0279395
## Theta3.matern -0.0324010 0.0467774 -0.1223690 -0.0331112  0.0617858 -0.0361665
## Theta4.matern -0.0997930 0.0960062 -0.2843550 -0.1012790  0.0936005 -0.1076780

1.3 Crossvalidation 1

#load(here("Models_output/distmatrixfixed.RData"))

points = data %>%
  as.data.frame() %>%
  st_as_sf(coords = c(".coord_x", ".coord_y"), crs = 4326) %>%
  mutate(., index = 1:nrow(.)) %>% 
  st_drop_geometry() %>%
  dplyr:::select(speed, .group, index) %>%
  mutate(.group = as.numeric(.group)) %>%
  group_by(.group) %>%
  mutate(indexingroup = seq_len(n())) %>%
  ungroup()

distance = seq(from = 0, to = 200, by = 20)/1000

The code of chunk below was executed only one time.


{r}
load(here("Models_output/distmatrixfixed_19May24.RData"))

points = data %>%
  as.data.frame() %>%
  st_as_sf(coords = c(".coord_x", ".coord_y"), crs = 4326) %>%
  mutate(., index = 1:nrow(.)) %>% 
  st_drop_geometry() %>%
  dplyr:::select(speed, .group, index) %>%
  mutate(.group = as.numeric(.group)) %>%
  group_by(.group) %>%
  mutate(indexingroup = seq_len(n())) %>%
  ungroup()

distance = seq(from = 0, to = 200, by = 20)/1000

GROUPS <- list()
for (j in 1:length(distance)) {
  print(j)
  GROUPS[[j]] = list()
  for (i in 1:nrow(points)) {
    rowi = points[i, ]
    GROUPS[[j]][[i]] <- which(as.vector(distmatrixlist[[rowi$.group]][rowi$indexingroup,]) <= distance[j])
  }
}
save(GROUPS, file = here("Models_output/GROUPS_19May24.RData"))

The code of chunk above was executed only one time.


load(here("Models_output/GROUPS_19May24_corrected.RData"))
mse.stat <- mse.nonstat <- ls.stat <- ls.nonstat <- rep(0,length(distance))
# cross-validation for-loop
for (j in 1:length(distance)) {
  print(j)
  # cross-validation of the stationary model
  cv.stat <- inla.group.cv(rspde_fit_stat, groups = GROUPS[[j]])
  # cross-validation of the nonstationary model
  cv.nonstat <- inla.group.cv(rspde_fit_nonstat, groups = GROUPS[[j]])
  # obtain MSE and LS
  mse.stat[j] <- mean((cv.stat$mean - points$speed)^2)
  mse.nonstat[j] <- mean((cv.nonstat$mean - points$speed)^2)
  ls.stat[j] <- mean(log(cv.stat$cv))
  ls.nonstat[j] <- mean(log(cv.nonstat$cv))
}
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## plot results
par(mfrow = c(2,2), family = "Palatino")

# Plot MSE
plot(distance, mse.stat, main = "MSE", ylim = c(min(mse.nonstat, mse.stat), max(mse.nonstat, mse.stat)),
     type = "l", ylab = "MSE", xlab = "distance in m", col = "black")
lines(distance, mse.nonstat, col = "blue")
legend("bottomright", legend = c("Stationary", "Non-stationary"), col = c("black", "blue"), lty = 1)

# Plot log-score
plot(distance, -ls.stat, main = "log-score", ylim = c(min(-ls.nonstat, -ls.stat), max(-ls.nonstat, -ls.stat)),
     type = "l", ylab = "log-score", xlab = "distance in m", col = "black")
lines(distance, -ls.nonstat, col = "blue")
legend("bottomright", legend = c("Stationary", "Non-stationary"), col = c("black", "blue"), lty = 1)

save.image(here(paste0("Models_output/", rmarkdown::metadata$title, ".RData")))